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Finding the Fourth Proportional to 10,340.50, 15,508.02 and 4,495.75

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Solution

The fourth proportional to 10,340.50, 15,508.02 and 4,495.75 is: 6,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.50 : 15,508.02 = 4,495.75 : x
  2. Step 2: Convert to fraction form
    10,340.50/15,508.02 = 4,495.75/x
  3. Step 3: Cross multiply
    10,340.50x = 15,508.02 × 4,495.75
  4. Step 4: Simplify right side
    10,340.50x = 69,720,180.92
  5. Step 5: Solve for x
    x = 69,720,180.92/10,340.50
  6. Step 6: Final answer
    x = 6,742.44

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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.