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Finding the Fourth Proportional to 11,585.60, 17,378.40 and 8,086.40

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Solution

The fourth proportional to 11,585.60, 17,378.40 and 8,086.40 is: 12,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.60 : 17,378.40 = 8,086.40 : x
  2. Step 2: Convert to fraction form
    11,585.60/17,378.40 = 8,086.40/x
  3. Step 3: Cross multiply
    11,585.60x = 17,378.40 × 8,086.40
  4. Step 4: Simplify right side
    11,585.60x = 140,528,693.76
  5. Step 5: Solve for x
    x = 140,528,693.76/11,585.60
  6. Step 6: Final answer
    x = 12,129.60

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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.