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Finding the Fourth Proportional to 11,780.53, 16,259.60 and 7,470.83

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Solution

The fourth proportional to 11,780.53, 16,259.60 and 7,470.83 is: 10,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.53 : 16,259.60 = 7,470.83 : x
  2. Step 2: Convert to fraction form
    11,780.53/16,259.60 = 7,470.83/x
  3. Step 3: Cross multiply
    11,780.53x = 16,259.60 × 7,470.83
  4. Step 4: Simplify right side
    11,780.53x = 121,472,679.66
  5. Step 5: Solve for x
    x = 121,472,679.66/11,780.53
  6. Step 6: Final answer
    x = 10,311.31

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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.