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Finding the Fourth Proportional to 10,721.31, 14,802.63 and 6,694.27

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Solution

The fourth proportional to 10,721.31, 14,802.63 and 6,694.27 is: 9,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.31 : 14,802.63 = 6,694.27 : x
  2. Step 2: Convert to fraction form
    10,721.31/14,802.63 = 6,694.27/x
  3. Step 3: Cross multiply
    10,721.31x = 14,802.63 × 6,694.27
  4. Step 4: Simplify right side
    10,721.31x = 99,092,801.93
  5. Step 5: Solve for x
    x = 99,092,801.93/10,721.31
  6. Step 6: Final answer
    x = 9,242.60

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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.