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Finding the Fourth Proportional to 8,096.80, 12,152.40 and 7,002.40

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Solution

The fourth proportional to 8,096.80, 12,152.40 and 7,002.40 is: 10,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.80 : 12,152.40 = 7,002.40 : x
  2. Step 2: Convert to fraction form
    8,096.80/12,152.40 = 7,002.40/x
  3. Step 3: Cross multiply
    8,096.80x = 12,152.40 × 7,002.40
  4. Step 4: Simplify right side
    8,096.80x = 85,095,965.76
  5. Step 5: Solve for x
    x = 85,095,965.76/8,096.80
  6. Step 6: Final answer
    x = 10,509.83

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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.