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Finding the Fourth Proportional to 8,689.68, 13,026.12 and 5,730.35

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Solution

The fourth proportional to 8,689.68, 13,026.12 and 5,730.35 is: 8,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.68 : 13,026.12 = 5,730.35 : x
  2. Step 2: Convert to fraction form
    8,689.68/13,026.12 = 5,730.35/x
  3. Step 3: Cross multiply
    8,689.68x = 13,026.12 × 5,730.35
  4. Step 4: Simplify right side
    8,689.68x = 74,644,140.12
  5. Step 5: Solve for x
    x = 74,644,140.12/8,689.68
  6. Step 6: Final answer
    x = 8,589.98

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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.