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Finding the Fourth Proportional to 7,876.47, 11,814.73 and 5,403.80

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Solution

The fourth proportional to 7,876.47, 11,814.73 and 5,403.80 is: 8,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.47 : 11,814.73 = 5,403.80 : x
  2. Step 2: Convert to fraction form
    7,876.47/11,814.73 = 5,403.80/x
  3. Step 3: Cross multiply
    7,876.47x = 11,814.73 × 5,403.80
  4. Step 4: Simplify right side
    7,876.47x = 63,844,437.97
  5. Step 5: Solve for x
    x = 63,844,437.97/7,876.47
  6. Step 6: Final answer
    x = 8,105.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.