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Finding the Fourth Proportional to 10,894.24, 16,326.24 and 5,689.72

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Solution

The fourth proportional to 10,894.24, 16,326.24 and 5,689.72 is: 8,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.24 : 16,326.24 = 5,689.72 : x
  2. Step 2: Convert to fraction form
    10,894.24/16,326.24 = 5,689.72/x
  3. Step 3: Cross multiply
    10,894.24x = 16,326.24 × 5,689.72
  4. Step 4: Simplify right side
    10,894.24x = 92,891,734.25
  5. Step 5: Solve for x
    x = 92,891,734.25/10,894.24
  6. Step 6: Final answer
    x = 8,526.68

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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.