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Finding the Fourth Proportional to 7,708.59, 10,637.82 and 4,171.74

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Solution

The fourth proportional to 7,708.59, 10,637.82 and 4,171.74 is: 5,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.59 : 10,637.82 = 4,171.74 : x
  2. Step 2: Convert to fraction form
    7,708.59/10,637.82 = 4,171.74/x
  3. Step 3: Cross multiply
    7,708.59x = 10,637.82 × 4,171.74
  4. Step 4: Simplify right side
    7,708.59x = 44,378,219.21
  5. Step 5: Solve for x
    x = 44,378,219.21/7,708.59
  6. Step 6: Final answer
    x = 5,756.98

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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.