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Finding the Fourth Proportional to 6,686.62, 10,039.65 and 4,937.02

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Solution

The fourth proportional to 6,686.62, 10,039.65 and 4,937.02 is: 7,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.62 : 10,039.65 = 4,937.02 : x
  2. Step 2: Convert to fraction form
    6,686.62/10,039.65 = 4,937.02/x
  3. Step 3: Cross multiply
    6,686.62x = 10,039.65 × 4,937.02
  4. Step 4: Simplify right side
    6,686.62x = 49,565,952.84
  5. Step 5: Solve for x
    x = 49,565,952.84/6,686.62
  6. Step 6: Final answer
    x = 7,412.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.