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Finding the Fourth Proportional to 8,407.14, 12,612.58 and 2,564.20

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Solution

The fourth proportional to 8,407.14, 12,612.58 and 2,564.20 is: 3,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.14 : 12,612.58 = 2,564.20 : x
  2. Step 2: Convert to fraction form
    8,407.14/12,612.58 = 2,564.20/x
  3. Step 3: Cross multiply
    8,407.14x = 12,612.58 × 2,564.20
  4. Step 4: Simplify right side
    8,407.14x = 32,341,177.64
  5. Step 5: Solve for x
    x = 32,341,177.64/8,407.14
  6. Step 6: Final answer
    x = 3,846.87

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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.