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Finding the Fourth Proportional to 11,500.01, 15,865.51 and 6,463.08

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Solution

The fourth proportional to 11,500.01, 15,865.51 and 6,463.08 is: 8,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.01 : 15,865.51 = 6,463.08 : x
  2. Step 2: Convert to fraction form
    11,500.01/15,865.51 = 6,463.08/x
  3. Step 3: Cross multiply
    11,500.01x = 15,865.51 × 6,463.08
  4. Step 4: Simplify right side
    11,500.01x = 102,539,948.73
  5. Step 5: Solve for x
    x = 102,539,948.73/11,500.01
  6. Step 6: Final answer
    x = 8,916.51

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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.