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Finding the Fourth Proportional to 11,505.81, 15,877.50 and 6,470.85

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Solution

The fourth proportional to 11,505.81, 15,877.50 and 6,470.85 is: 8,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.81 : 15,877.50 = 6,470.85 : x
  2. Step 2: Convert to fraction form
    11,505.81/15,877.50 = 6,470.85/x
  3. Step 3: Cross multiply
    11,505.81x = 15,877.50 × 6,470.85
  4. Step 4: Simplify right side
    11,505.81x = 102,740,920.88
  5. Step 5: Solve for x
    x = 102,740,920.88/11,505.81
  6. Step 6: Final answer
    x = 8,929.48

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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.