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Finding the Fourth Proportional to 11,504.86, 15,877.26 and 6,470.66

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Solution

The fourth proportional to 11,504.86, 15,877.26 and 6,470.66 is: 8,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.86 : 15,877.26 = 6,470.66 : x
  2. Step 2: Convert to fraction form
    11,504.86/15,877.26 = 6,470.66/x
  3. Step 3: Cross multiply
    11,504.86x = 15,877.26 × 6,470.66
  4. Step 4: Simplify right side
    11,504.86x = 102,736,351.19
  5. Step 5: Solve for x
    x = 102,736,351.19/11,504.86
  6. Step 6: Final answer
    x = 8,929.83

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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.