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Finding the Fourth Proportional to 7,712.58, 10,646.07 and 4,687.74

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Solution

The fourth proportional to 7,712.58, 10,646.07 and 4,687.74 is: 6,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.58 : 10,646.07 = 4,687.74 : x
  2. Step 2: Convert to fraction form
    7,712.58/10,646.07 = 4,687.74/x
  3. Step 3: Cross multiply
    7,712.58x = 10,646.07 × 4,687.74
  4. Step 4: Simplify right side
    7,712.58x = 49,906,008.18
  5. Step 5: Solve for x
    x = 49,906,008.18/7,712.58
  6. Step 6: Final answer
    x = 6,470.73

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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.