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Finding the Fourth Proportional to 10,637.53, 14,680.51 and 7,046.29

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Solution

The fourth proportional to 10,637.53, 14,680.51 and 7,046.29 is: 9,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.53 : 14,680.51 = 7,046.29 : x
  2. Step 2: Convert to fraction form
    10,637.53/14,680.51 = 7,046.29/x
  3. Step 3: Cross multiply
    10,637.53x = 14,680.51 × 7,046.29
  4. Step 4: Simplify right side
    10,637.53x = 103,443,131.54
  5. Step 5: Solve for x
    x = 103,443,131.54/10,637.53
  6. Step 6: Final answer
    x = 9,724.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.