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Finding the Fourth Proportional to 7,310.80, 10,948.88 and 4,192.50

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Solution

The fourth proportional to 7,310.80, 10,948.88 and 4,192.50 is: 6,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.80 : 10,948.88 = 4,192.50 : x
  2. Step 2: Convert to fraction form
    7,310.80/10,948.88 = 4,192.50/x
  3. Step 3: Cross multiply
    7,310.80x = 10,948.88 × 4,192.50
  4. Step 4: Simplify right side
    7,310.80x = 45,903,179.40
  5. Step 5: Solve for x
    x = 45,903,179.40/7,310.80
  6. Step 6: Final answer
    x = 6,278.82

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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.