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Finding the Fourth Proportional to 8,402.18, 12,599.61 and 2,557.42

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Solution

The fourth proportional to 8,402.18, 12,599.61 and 2,557.42 is: 3,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.18 : 12,599.61 = 2,557.42 : x
  2. Step 2: Convert to fraction form
    8,402.18/12,599.61 = 2,557.42/x
  3. Step 3: Cross multiply
    8,402.18x = 12,599.61 × 2,557.42
  4. Step 4: Simplify right side
    8,402.18x = 32,222,431.61
  5. Step 5: Solve for x
    x = 32,222,431.61/8,402.18
  6. Step 6: Final answer
    x = 3,835.01

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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.