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Finding the Fourth Proportional to 11,521.31, 15,898.01 and 6,484.73

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Solution

The fourth proportional to 11,521.31, 15,898.01 and 6,484.73 is: 8,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.31 : 15,898.01 = 6,484.73 : x
  2. Step 2: Convert to fraction form
    11,521.31/15,898.01 = 6,484.73/x
  3. Step 3: Cross multiply
    11,521.31x = 15,898.01 × 6,484.73
  4. Step 4: Simplify right side
    11,521.31x = 103,094,190.47
  5. Step 5: Solve for x
    x = 103,094,190.47/11,521.31
  6. Step 6: Final answer
    x = 8,948.13

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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.