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Finding the Fourth Proportional to 11,848.57, 16,351.11 and 6,470.87

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Solution

The fourth proportional to 11,848.57, 16,351.11 and 6,470.87 is: 8,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.57 : 16,351.11 = 6,470.87 : x
  2. Step 2: Convert to fraction form
    11,848.57/16,351.11 = 6,470.87/x
  3. Step 3: Cross multiply
    11,848.57x = 16,351.11 × 6,470.87
  4. Step 4: Simplify right side
    11,848.57x = 105,805,899.19
  5. Step 5: Solve for x
    x = 105,805,899.19/11,848.57
  6. Step 6: Final answer
    x = 8,929.85

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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.