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Finding the Fourth Proportional to 8,257.40, 12,386.10 and 5,492.60

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Solution

The fourth proportional to 8,257.40, 12,386.10 and 5,492.60 is: 8,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.40 : 12,386.10 = 5,492.60 : x
  2. Step 2: Convert to fraction form
    8,257.40/12,386.10 = 5,492.60/x
  3. Step 3: Cross multiply
    8,257.40x = 12,386.10 × 5,492.60
  4. Step 4: Simplify right side
    8,257.40x = 68,031,892.86
  5. Step 5: Solve for x
    x = 68,031,892.86/8,257.40
  6. Step 6: Final answer
    x = 8,238.90

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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.