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Finding the Fourth Proportional to 7,656.40, 10,550.02 and 5,863.76

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Solution

The fourth proportional to 7,656.40, 10,550.02 and 5,863.76 is: 8,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.40 : 10,550.02 = 5,863.76 : x
  2. Step 2: Convert to fraction form
    7,656.40/10,550.02 = 5,863.76/x
  3. Step 3: Cross multiply
    7,656.40x = 10,550.02 × 5,863.76
  4. Step 4: Simplify right side
    7,656.40x = 61,862,785.28
  5. Step 5: Solve for x
    x = 61,862,785.28/7,656.40
  6. Step 6: Final answer
    x = 8,079.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.