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Finding the Fourth Proportional to 10,065.99, 13,890.48 and 5,589.42

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Solution

The fourth proportional to 10,065.99, 13,890.48 and 5,589.42 is: 7,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.99 : 13,890.48 = 5,589.42 : x
  2. Step 2: Convert to fraction form
    10,065.99/13,890.48 = 5,589.42/x
  3. Step 3: Cross multiply
    10,065.99x = 13,890.48 × 5,589.42
  4. Step 4: Simplify right side
    10,065.99x = 77,639,726.72
  5. Step 5: Solve for x
    x = 77,639,726.72/10,065.99
  6. Step 6: Final answer
    x = 7,713.07

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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.