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Finding the Fourth Proportional to 7,744.18, 11,616.27 and 7,349.76

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Solution

The fourth proportional to 7,744.18, 11,616.27 and 7,349.76 is: 11,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.18 : 11,616.27 = 7,349.76 : x
  2. Step 2: Convert to fraction form
    7,744.18/11,616.27 = 7,349.76/x
  3. Step 3: Cross multiply
    7,744.18x = 11,616.27 × 7,349.76
  4. Step 4: Simplify right side
    7,744.18x = 85,376,738.51
  5. Step 5: Solve for x
    x = 85,376,738.51/7,744.18
  6. Step 6: Final answer
    x = 11,024.64

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.