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Finding the Fourth Proportional to 8,580.13, 12,874.02 and 5,459.30

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Solution

The fourth proportional to 8,580.13, 12,874.02 and 5,459.30 is: 8,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.13 : 12,874.02 = 5,459.30 : x
  2. Step 2: Convert to fraction form
    8,580.13/12,874.02 = 5,459.30/x
  3. Step 3: Cross multiply
    8,580.13x = 12,874.02 × 5,459.30
  4. Step 4: Simplify right side
    8,580.13x = 70,283,137.39
  5. Step 5: Solve for x
    x = 70,283,137.39/8,580.13
  6. Step 6: Final answer
    x = 8,191.38

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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.