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Finding the Fourth Proportional to 10,135.87, 13,986.92 and 5,659.91

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Solution

The fourth proportional to 10,135.87, 13,986.92 and 5,659.91 is: 7,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.87 : 13,986.92 = 5,659.91 : x
  2. Step 2: Convert to fraction form
    10,135.87/13,986.92 = 5,659.91/x
  3. Step 3: Cross multiply
    10,135.87x = 13,986.92 × 5,659.91
  4. Step 4: Simplify right side
    10,135.87x = 79,164,724.25
  5. Step 5: Solve for x
    x = 79,164,724.25/10,135.87
  6. Step 6: Final answer
    x = 7,810.35

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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.