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Finding the Fourth Proportional to 10,312.31, 15,436.78 and 6,618.11

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Solution

The fourth proportional to 10,312.31, 15,436.78 and 6,618.11 is: 9,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.31 : 15,436.78 = 6,618.11 : x
  2. Step 2: Convert to fraction form
    10,312.31/15,436.78 = 6,618.11/x
  3. Step 3: Cross multiply
    10,312.31x = 15,436.78 × 6,618.11
  4. Step 4: Simplify right side
    10,312.31x = 102,162,214.36
  5. Step 5: Solve for x
    x = 102,162,214.36/10,312.31
  6. Step 6: Final answer
    x = 9,906.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.