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Finding the Fourth Proportional to 8,527.30, 12,810.15 and 8,200.90

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Solution

The fourth proportional to 8,527.30, 12,810.15 and 8,200.90 is: 12,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.30 : 12,810.15 = 8,200.90 : x
  2. Step 2: Convert to fraction form
    8,527.30/12,810.15 = 8,200.90/x
  3. Step 3: Cross multiply
    8,527.30x = 12,810.15 × 8,200.90
  4. Step 4: Simplify right side
    8,527.30x = 105,054,759.14
  5. Step 5: Solve for x
    x = 105,054,759.14/8,527.30
  6. Step 6: Final answer
    x = 12,319.82

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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.