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Finding the Fourth Proportional to 10,534.04, 15,797.18 and 4,290.66

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Solution

The fourth proportional to 10,534.04, 15,797.18 and 4,290.66 is: 6,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.04 : 15,797.18 = 4,290.66 : x
  2. Step 2: Convert to fraction form
    10,534.04/15,797.18 = 4,290.66/x
  3. Step 3: Cross multiply
    10,534.04x = 15,797.18 × 4,290.66
  4. Step 4: Simplify right side
    10,534.04x = 67,780,247.65
  5. Step 5: Solve for x
    x = 67,780,247.65/10,534.04
  6. Step 6: Final answer
    x = 6,434.41

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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.