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Finding the Fourth Proportional to 10,488.95, 15,735.74 and 3,471.15

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Solution

The fourth proportional to 10,488.95, 15,735.74 and 3,471.15 is: 5,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.95 : 15,735.74 = 3,471.15 : x
  2. Step 2: Convert to fraction form
    10,488.95/15,735.74 = 3,471.15/x
  3. Step 3: Cross multiply
    10,488.95x = 15,735.74 × 3,471.15
  4. Step 4: Simplify right side
    10,488.95x = 54,621,113.90
  5. Step 5: Solve for x
    x = 54,621,113.90/10,488.95
  6. Step 6: Final answer
    x = 5,207.49

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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.