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Finding the Fourth Proportional to 11,501.80, 15,872.29 and 6,397.12

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Solution

The fourth proportional to 11,501.80, 15,872.29 and 6,397.12 is: 8,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.80 : 15,872.29 = 6,397.12 : x
  2. Step 2: Convert to fraction form
    11,501.80/15,872.29 = 6,397.12/x
  3. Step 3: Cross multiply
    11,501.80x = 15,872.29 × 6,397.12
  4. Step 4: Simplify right side
    11,501.80x = 101,536,943.80
  5. Step 5: Solve for x
    x = 101,536,943.80/11,501.80
  6. Step 6: Final answer
    x = 8,827.92

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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.