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Finding the Fourth Proportional to 8,410.18, 12,615.28 and 2,566.48

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Solution

The fourth proportional to 8,410.18, 12,615.28 and 2,566.48 is: 3,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.18 : 12,615.28 = 2,566.48 : x
  2. Step 2: Convert to fraction form
    8,410.18/12,615.28 = 2,566.48/x
  3. Step 3: Cross multiply
    8,410.18x = 12,615.28 × 2,566.48
  4. Step 4: Simplify right side
    8,410.18x = 32,376,863.81
  5. Step 5: Solve for x
    x = 32,376,863.81/8,410.18
  6. Step 6: Final answer
    x = 3,849.72

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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.