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Finding the Fourth Proportional to 7,724.88, 10,650.65 and 6,307.16

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Solution

The fourth proportional to 7,724.88, 10,650.65 and 6,307.16 is: 8,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.88 : 10,650.65 = 6,307.16 : x
  2. Step 2: Convert to fraction form
    7,724.88/10,650.65 = 6,307.16/x
  3. Step 3: Cross multiply
    7,724.88x = 10,650.65 × 6,307.16
  4. Step 4: Simplify right side
    7,724.88x = 67,175,268.86
  5. Step 5: Solve for x
    x = 67,175,268.86/7,724.88
  6. Step 6: Final answer
    x = 8,695.96

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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.