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Finding the Fourth Proportional to 10,689.86, 16,026.14 and 4,454.56

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Solution

The fourth proportional to 10,689.86, 16,026.14 and 4,454.56 is: 6,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.86 : 16,026.14 = 4,454.56 : x
  2. Step 2: Convert to fraction form
    10,689.86/16,026.14 = 4,454.56/x
  3. Step 3: Cross multiply
    10,689.86x = 16,026.14 × 4,454.56
  4. Step 4: Simplify right side
    10,689.86x = 71,389,402.20
  5. Step 5: Solve for x
    x = 71,389,402.20/10,689.86
  6. Step 6: Final answer
    x = 6,678.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.