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Finding the Fourth Proportional to 8,514.96, 12,773.76 and 4,352.70

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Solution

The fourth proportional to 8,514.96, 12,773.76 and 4,352.70 is: 6,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.96 : 12,773.76 = 4,352.70 : x
  2. Step 2: Convert to fraction form
    8,514.96/12,773.76 = 4,352.70/x
  3. Step 3: Cross multiply
    8,514.96x = 12,773.76 × 4,352.70
  4. Step 4: Simplify right side
    8,514.96x = 55,600,345.15
  5. Step 5: Solve for x
    x = 55,600,345.15/8,514.96
  6. Step 6: Final answer
    x = 6,529.72

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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.