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Finding the Fourth Proportional to 10,624.40, 15,937.40 and 2,833.04

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Solution

The fourth proportional to 10,624.40, 15,937.40 and 2,833.04 is: 4,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.40 : 15,937.40 = 2,833.04 : x
  2. Step 2: Convert to fraction form
    10,624.40/15,937.40 = 2,833.04/x
  3. Step 3: Cross multiply
    10,624.40x = 15,937.40 × 2,833.04
  4. Step 4: Simplify right side
    10,624.40x = 45,151,291.70
  5. Step 5: Solve for x
    x = 45,151,291.70/10,624.40
  6. Step 6: Final answer
    x = 4,249.77

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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.