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Finding the Fourth Proportional to 8,200.30, 12,276.15 and 5,430.10

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Solution

The fourth proportional to 8,200.30, 12,276.15 and 5,430.10 is: 8,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.30 : 12,276.15 = 5,430.10 : x
  2. Step 2: Convert to fraction form
    8,200.30/12,276.15 = 5,430.10/x
  3. Step 3: Cross multiply
    8,200.30x = 12,276.15 × 5,430.10
  4. Step 4: Simplify right side
    8,200.30x = 66,660,722.12
  5. Step 5: Solve for x
    x = 66,660,722.12/8,200.30
  6. Step 6: Final answer
    x = 8,129.06

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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.