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Finding the Fourth Proportional to 8,251.98, 11,386.52 and 4,714.50

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Solution

The fourth proportional to 8,251.98, 11,386.52 and 4,714.50 is: 6,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.98 : 11,386.52 = 4,714.50 : x
  2. Step 2: Convert to fraction form
    8,251.98/11,386.52 = 4,714.50/x
  3. Step 3: Cross multiply
    8,251.98x = 11,386.52 × 4,714.50
  4. Step 4: Simplify right side
    8,251.98x = 53,681,811.87
  5. Step 5: Solve for x
    x = 53,681,811.87/8,251.98
  6. Step 6: Final answer
    x = 6,505.33

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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.