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Finding the Fourth Proportional to 7,309.59, 10,086.63 and 4,122.71

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Solution

The fourth proportional to 7,309.59, 10,086.63 and 4,122.71 is: 5,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.59 : 10,086.63 = 4,122.71 : x
  2. Step 2: Convert to fraction form
    7,309.59/10,086.63 = 4,122.71/x
  3. Step 3: Cross multiply
    7,309.59x = 10,086.63 × 4,122.71
  4. Step 4: Simplify right side
    7,309.59x = 41,584,229.75
  5. Step 5: Solve for x
    x = 41,584,229.75/7,309.59
  6. Step 6: Final answer
    x = 5,689.00

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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.