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Finding the Fourth Proportional to 10,392.08, 15,589.72 and 3,466

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Solution

The fourth proportional to 10,392.08, 15,589.72 and 3,466 is: 5,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.08 : 15,589.72 = 3,466 : x
  2. Step 2: Convert to fraction form
    10,392.08/15,589.72 = 3,466/x
  3. Step 3: Cross multiply
    10,392.08x = 15,589.72 × 3,466
  4. Step 4: Simplify right side
    10,392.08x = 54,033,969.52
  5. Step 5: Solve for x
    x = 54,033,969.52/10,392.08
  6. Step 6: Final answer
    x = 5,199.53

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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.