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Finding the Fourth Proportional to 7,400.84, 11,047.27 and 6,466.66

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Solution

The fourth proportional to 7,400.84, 11,047.27 and 6,466.66 is: 9,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.84 : 11,047.27 = 6,466.66 : x
  2. Step 2: Convert to fraction form
    7,400.84/11,047.27 = 6,466.66/x
  3. Step 3: Cross multiply
    7,400.84x = 11,047.27 × 6,466.66
  4. Step 4: Simplify right side
    7,400.84x = 71,438,851.45
  5. Step 5: Solve for x
    x = 71,438,851.45/7,400.84
  6. Step 6: Final answer
    x = 9,652.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.