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Finding the Fourth Proportional to 10,007.29, 13,810.31 and 5,531.11

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Solution

The fourth proportional to 10,007.29, 13,810.31 and 5,531.11 is: 7,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.29 : 13,810.31 = 5,531.11 : x
  2. Step 2: Convert to fraction form
    10,007.29/13,810.31 = 5,531.11/x
  3. Step 3: Cross multiply
    10,007.29x = 13,810.31 × 5,531.11
  4. Step 4: Simplify right side
    10,007.29x = 76,386,333.42
  5. Step 5: Solve for x
    x = 76,386,333.42/10,007.29
  6. Step 6: Final answer
    x = 7,633.07

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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.