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Finding the Fourth Proportional to 10,080.25, 13,916.97 and 6,496.47

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Solution

The fourth proportional to 10,080.25, 13,916.97 and 6,496.47 is: 8,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.25 : 13,916.97 = 6,496.47 : x
  2. Step 2: Convert to fraction form
    10,080.25/13,916.97 = 6,496.47/x
  3. Step 3: Cross multiply
    10,080.25x = 13,916.97 × 6,496.47
  4. Step 4: Simplify right side
    10,080.25x = 90,411,145.61
  5. Step 5: Solve for x
    x = 90,411,145.61/10,080.25
  6. Step 6: Final answer
    x = 8,969.14

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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.