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Finding the Fourth Proportional to 7,041.80, 9,706.02 and 5,049.20

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Solution

The fourth proportional to 7,041.80, 9,706.02 and 5,049.20 is: 6,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.80 : 9,706.02 = 5,049.20 : x
  2. Step 2: Convert to fraction form
    7,041.80/9,706.02 = 5,049.20/x
  3. Step 3: Cross multiply
    7,041.80x = 9,706.02 × 5,049.20
  4. Step 4: Simplify right side
    7,041.80x = 49,007,636.18
  5. Step 5: Solve for x
    x = 49,007,636.18/7,041.80
  6. Step 6: Final answer
    x = 6,959.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.