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Finding the Fourth Proportional to 10,135.71, 13,991.64 and 6,158.19

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Solution

The fourth proportional to 10,135.71, 13,991.64 and 6,158.19 is: 8,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.71 : 13,991.64 = 6,158.19 : x
  2. Step 2: Convert to fraction form
    10,135.71/13,991.64 = 6,158.19/x
  3. Step 3: Cross multiply
    10,135.71x = 13,991.64 × 6,158.19
  4. Step 4: Simplify right side
    10,135.71x = 86,163,177.53
  5. Step 5: Solve for x
    x = 86,163,177.53/10,135.71
  6. Step 6: Final answer
    x = 8,500.95

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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.