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Finding the Fourth Proportional to 7,159.70, 10,734.35 and 4,813.88

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Solution

The fourth proportional to 7,159.70, 10,734.35 and 4,813.88 is: 7,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.70 : 10,734.35 = 4,813.88 : x
  2. Step 2: Convert to fraction form
    7,159.70/10,734.35 = 4,813.88/x
  3. Step 3: Cross multiply
    7,159.70x = 10,734.35 × 4,813.88
  4. Step 4: Simplify right side
    7,159.70x = 51,673,872.78
  5. Step 5: Solve for x
    x = 51,673,872.78/7,159.70
  6. Step 6: Final answer
    x = 7,217.32

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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.