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Finding the Fourth Proportional to 11,188.30, 15,438.65 and 6,471.66

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Solution

The fourth proportional to 11,188.30, 15,438.65 and 6,471.66 is: 8,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.30 : 15,438.65 = 6,471.66 : x
  2. Step 2: Convert to fraction form
    11,188.30/15,438.65 = 6,471.66/x
  3. Step 3: Cross multiply
    11,188.30x = 15,438.65 × 6,471.66
  4. Step 4: Simplify right side
    11,188.30x = 99,913,693.66
  5. Step 5: Solve for x
    x = 99,913,693.66/11,188.30
  6. Step 6: Final answer
    x = 8,930.19

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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.