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Finding the Fourth Proportional to 8,102.30, 12,154.96 and 5,580.03

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Solution

The fourth proportional to 8,102.30, 12,154.96 and 5,580.03 is: 8,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.30 : 12,154.96 = 5,580.03 : x
  2. Step 2: Convert to fraction form
    8,102.30/12,154.96 = 5,580.03/x
  3. Step 3: Cross multiply
    8,102.30x = 12,154.96 × 5,580.03
  4. Step 4: Simplify right side
    8,102.30x = 67,824,952.77
  5. Step 5: Solve for x
    x = 67,824,952.77/8,102.30
  6. Step 6: Final answer
    x = 8,371.08

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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.