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Finding the Fourth Proportional to 7,738.48, 11,612.48 and 3,356

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Solution

The fourth proportional to 7,738.48, 11,612.48 and 3,356 is: 5,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.48 : 11,612.48 = 3,356 : x
  2. Step 2: Convert to fraction form
    7,738.48/11,612.48 = 3,356/x
  3. Step 3: Cross multiply
    7,738.48x = 11,612.48 × 3,356
  4. Step 4: Simplify right side
    7,738.48x = 38,971,482.88
  5. Step 5: Solve for x
    x = 38,971,482.88/7,738.48
  6. Step 6: Final answer
    x = 5,036.06

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