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Finding the Fourth Proportional to 7,686.64, 11,515.38 and 4,560.04

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Solution

The fourth proportional to 7,686.64, 11,515.38 and 4,560.04 is: 6,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.64 : 11,515.38 = 4,560.04 : x
  2. Step 2: Convert to fraction form
    7,686.64/11,515.38 = 4,560.04/x
  3. Step 3: Cross multiply
    7,686.64x = 11,515.38 × 4,560.04
  4. Step 4: Simplify right side
    7,686.64x = 52,510,593.42
  5. Step 5: Solve for x
    x = 52,510,593.42/7,686.64
  6. Step 6: Final answer
    x = 6,831.41

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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.