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Finding the Fourth Proportional to 7,687.60, 11,530.16 and 2,756.40

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Solution

The fourth proportional to 7,687.60, 11,530.16 and 2,756.40 is: 4,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.60 : 11,530.16 = 2,756.40 : x
  2. Step 2: Convert to fraction form
    7,687.60/11,530.16 = 2,756.40/x
  3. Step 3: Cross multiply
    7,687.60x = 11,530.16 × 2,756.40
  4. Step 4: Simplify right side
    7,687.60x = 31,781,733.02
  5. Step 5: Solve for x
    x = 31,781,733.02/7,687.60
  6. Step 6: Final answer
    x = 4,134.16

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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.