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Finding the Fourth Proportional to 10,135.64, 13,987.18 and 5,659.39

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Solution

The fourth proportional to 10,135.64, 13,987.18 and 5,659.39 is: 7,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.64 : 13,987.18 = 5,659.39 : x
  2. Step 2: Convert to fraction form
    10,135.64/13,987.18 = 5,659.39/x
  3. Step 3: Cross multiply
    10,135.64x = 13,987.18 × 5,659.39
  4. Step 4: Simplify right side
    10,135.64x = 79,158,874.99
  5. Step 5: Solve for x
    x = 79,158,874.99/10,135.64
  6. Step 6: Final answer
    x = 7,809.95

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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.