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Finding the Fourth Proportional to 10,034.64, 15,040.62 and 4,834.44

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Solution

The fourth proportional to 10,034.64, 15,040.62 and 4,834.44 is: 7,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.64 : 15,040.62 = 4,834.44 : x
  2. Step 2: Convert to fraction form
    10,034.64/15,040.62 = 4,834.44/x
  3. Step 3: Cross multiply
    10,034.64x = 15,040.62 × 4,834.44
  4. Step 4: Simplify right side
    10,034.64x = 72,712,974.95
  5. Step 5: Solve for x
    x = 72,712,974.95/10,034.64
  6. Step 6: Final answer
    x = 7,246.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.