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Finding the Fourth Proportional to 10,689.70, 16,029.50 and 6,248.64

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Solution

The fourth proportional to 10,689.70, 16,029.50 and 6,248.64 is: 9,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.70 : 16,029.50 = 6,248.64 : x
  2. Step 2: Convert to fraction form
    10,689.70/16,029.50 = 6,248.64/x
  3. Step 3: Cross multiply
    10,689.70x = 16,029.50 × 6,248.64
  4. Step 4: Simplify right side
    10,689.70x = 100,162,574.88
  5. Step 5: Solve for x
    x = 100,162,574.88/10,689.70
  6. Step 6: Final answer
    x = 9,370.01

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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.