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Finding the Fourth Proportional to 8,514.70, 12,773.86 and 7,907.20

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Solution

The fourth proportional to 8,514.70, 12,773.86 and 7,907.20 is: 11,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.70 : 12,773.86 = 7,907.20 : x
  2. Step 2: Convert to fraction form
    8,514.70/12,773.86 = 7,907.20/x
  3. Step 3: Cross multiply
    8,514.70x = 12,773.86 × 7,907.20
  4. Step 4: Simplify right side
    8,514.70x = 101,005,465.79
  5. Step 5: Solve for x
    x = 101,005,465.79/8,514.70
  6. Step 6: Final answer
    x = 11,862.48

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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.