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Finding the Fourth Proportional to 11,342.17, 15,648.05 and 6,864.29

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Solution

The fourth proportional to 11,342.17, 15,648.05 and 6,864.29 is: 9,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.17 : 15,648.05 = 6,864.29 : x
  2. Step 2: Convert to fraction form
    11,342.17/15,648.05 = 6,864.29/x
  3. Step 3: Cross multiply
    11,342.17x = 15,648.05 × 6,864.29
  4. Step 4: Simplify right side
    11,342.17x = 107,412,718.81
  5. Step 5: Solve for x
    x = 107,412,718.81/11,342.17
  6. Step 6: Final answer
    x = 9,470.21

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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.