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Finding the Fourth Proportional to 11,248.43, 15,508.27 and 7,705.31

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Solution

The fourth proportional to 11,248.43, 15,508.27 and 7,705.31 is: 10,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.43 : 15,508.27 = 7,705.31 : x
  2. Step 2: Convert to fraction form
    11,248.43/15,508.27 = 7,705.31/x
  3. Step 3: Cross multiply
    11,248.43x = 15,508.27 × 7,705.31
  4. Step 4: Simplify right side
    11,248.43x = 119,496,027.91
  5. Step 5: Solve for x
    x = 119,496,027.91/11,248.43
  6. Step 6: Final answer
    x = 10,623.35

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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.