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Finding the Fourth Proportional to 10,689.48, 16,017.81 and 6,523.24

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Solution

The fourth proportional to 10,689.48, 16,017.81 and 6,523.24 is: 9,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.48 : 16,017.81 = 6,523.24 : x
  2. Step 2: Convert to fraction form
    10,689.48/16,017.81 = 6,523.24/x
  3. Step 3: Cross multiply
    10,689.48x = 16,017.81 × 6,523.24
  4. Step 4: Simplify right side
    10,689.48x = 104,488,018.90
  5. Step 5: Solve for x
    x = 104,488,018.90/10,689.48
  6. Step 6: Final answer
    x = 9,774.85

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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.