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Finding the Fourth Proportional to 11,189.97, 15,438.47 and 6,470.91

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Solution

The fourth proportional to 11,189.97, 15,438.47 and 6,470.91 is: 8,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.97 : 15,438.47 = 6,470.91 : x
  2. Step 2: Convert to fraction form
    11,189.97/15,438.47 = 6,470.91/x
  3. Step 3: Cross multiply
    11,189.97x = 15,438.47 × 6,470.91
  4. Step 4: Simplify right side
    11,189.97x = 99,900,917.55
  5. Step 5: Solve for x
    x = 99,900,917.55/11,189.97
  6. Step 6: Final answer
    x = 8,927.72

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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.