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Finding the Fourth Proportional to 10,643.88, 14,689.31 and 5,929.14

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Solution

The fourth proportional to 10,643.88, 14,689.31 and 5,929.14 is: 8,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.88 : 14,689.31 = 5,929.14 : x
  2. Step 2: Convert to fraction form
    10,643.88/14,689.31 = 5,929.14/x
  3. Step 3: Cross multiply
    10,643.88x = 14,689.31 × 5,929.14
  4. Step 4: Simplify right side
    10,643.88x = 87,094,945.85
  5. Step 5: Solve for x
    x = 87,094,945.85/10,643.88
  6. Step 6: Final answer
    x = 8,182.63

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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.