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Finding the Fourth Proportional to 8,056.40, 12,084.60 and 7,732.40

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Solution

The fourth proportional to 8,056.40, 12,084.60 and 7,732.40 is: 11,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.40 : 12,084.60 = 7,732.40 : x
  2. Step 2: Convert to fraction form
    8,056.40/12,084.60 = 7,732.40/x
  3. Step 3: Cross multiply
    8,056.40x = 12,084.60 × 7,732.40
  4. Step 4: Simplify right side
    8,056.40x = 93,442,961.04
  5. Step 5: Solve for x
    x = 93,442,961.04/8,056.40
  6. Step 6: Final answer
    x = 11,598.60

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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.