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Finding the Fourth Proportional to 10,328.53, 15,454.51 and 6,170.80

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Solution

The fourth proportional to 10,328.53, 15,454.51 and 6,170.80 is: 9,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.53 : 15,454.51 = 6,170.80 : x
  2. Step 2: Convert to fraction form
    10,328.53/15,454.51 = 6,170.80/x
  3. Step 3: Cross multiply
    10,328.53x = 15,454.51 × 6,170.80
  4. Step 4: Simplify right side
    10,328.53x = 95,366,690.31
  5. Step 5: Solve for x
    x = 95,366,690.31/10,328.53
  6. Step 6: Final answer
    x = 9,233.33

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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.