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Finding the Fourth Proportional to 10,033.68, 15,064.68 and 6,323.88

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Solution

The fourth proportional to 10,033.68, 15,064.68 and 6,323.88 is: 9,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.68 : 15,064.68 = 6,323.88 : x
  2. Step 2: Convert to fraction form
    10,033.68/15,064.68 = 6,323.88/x
  3. Step 3: Cross multiply
    10,033.68x = 15,064.68 × 6,323.88
  4. Step 4: Simplify right side
    10,033.68x = 95,267,228.56
  5. Step 5: Solve for x
    x = 95,267,228.56/10,033.68
  6. Step 6: Final answer
    x = 9,494.74

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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.