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Finding the Fourth Proportional to 6,689.86, 10,031.12 and 5,312.04

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Solution

The fourth proportional to 6,689.86, 10,031.12 and 5,312.04 is: 7,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.86 : 10,031.12 = 5,312.04 : x
  2. Step 2: Convert to fraction form
    6,689.86/10,031.12 = 5,312.04/x
  3. Step 3: Cross multiply
    6,689.86x = 10,031.12 × 5,312.04
  4. Step 4: Simplify right side
    6,689.86x = 53,285,710.68
  5. Step 5: Solve for x
    x = 53,285,710.68/6,689.86
  6. Step 6: Final answer
    x = 7,965.15

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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.