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Finding the Fourth Proportional to 7,690.71, 10,612.29 and 4,708.29

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Solution

The fourth proportional to 7,690.71, 10,612.29 and 4,708.29 is: 6,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.71 : 10,612.29 = 4,708.29 : x
  2. Step 2: Convert to fraction form
    7,690.71/10,612.29 = 4,708.29/x
  3. Step 3: Cross multiply
    7,690.71x = 10,612.29 × 4,708.29
  4. Step 4: Simplify right side
    7,690.71x = 49,965,738.88
  5. Step 5: Solve for x
    x = 49,965,738.88/7,690.71
  6. Step 6: Final answer
    x = 6,496.90

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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.