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Finding the Fourth Proportional to 10,405.13, 14,359.07 and 5,689.44

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Solution

The fourth proportional to 10,405.13, 14,359.07 and 5,689.44 is: 7,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.13 : 14,359.07 = 5,689.44 : x
  2. Step 2: Convert to fraction form
    10,405.13/14,359.07 = 5,689.44/x
  3. Step 3: Cross multiply
    10,405.13x = 14,359.07 × 5,689.44
  4. Step 4: Simplify right side
    10,405.13x = 81,695,081.44
  5. Step 5: Solve for x
    x = 81,695,081.44/10,405.13
  6. Step 6: Final answer
    x = 7,851.43

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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.