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Finding the Fourth Proportional to 11,509.31, 15,881.49 and 6,473.27

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Solution

The fourth proportional to 11,509.31, 15,881.49 and 6,473.27 is: 8,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.31 : 15,881.49 = 6,473.27 : x
  2. Step 2: Convert to fraction form
    11,509.31/15,881.49 = 6,473.27/x
  3. Step 3: Cross multiply
    11,509.31x = 15,881.49 × 6,473.27
  4. Step 4: Simplify right side
    11,509.31x = 102,805,212.48
  5. Step 5: Solve for x
    x = 102,805,212.48/11,509.31
  6. Step 6: Final answer
    x = 8,932.35

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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.