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Finding the Fourth Proportional to 10,065.46, 13,890.14 and 5,589.12

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Solution

The fourth proportional to 10,065.46, 13,890.14 and 5,589.12 is: 7,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.46 : 13,890.14 = 5,589.12 : x
  2. Step 2: Convert to fraction form
    10,065.46/13,890.14 = 5,589.12/x
  3. Step 3: Cross multiply
    10,065.46x = 13,890.14 × 5,589.12
  4. Step 4: Simplify right side
    10,065.46x = 77,633,659.28
  5. Step 5: Solve for x
    x = 77,633,659.28/10,065.46
  6. Step 6: Final answer
    x = 7,712.88

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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.