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Finding the Fourth Proportional to 7,180.29, 9,902.12 and 4,659.71

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Solution

The fourth proportional to 7,180.29, 9,902.12 and 4,659.71 is: 6,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.29 : 9,902.12 = 4,659.71 : x
  2. Step 2: Convert to fraction form
    7,180.29/9,902.12 = 4,659.71/x
  3. Step 3: Cross multiply
    7,180.29x = 9,902.12 × 4,659.71
  4. Step 4: Simplify right side
    7,180.29x = 46,140,934.78
  5. Step 5: Solve for x
    x = 46,140,934.78/7,180.29
  6. Step 6: Final answer
    x = 6,426.05

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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.