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Finding the Fourth Proportional to 7,262.80, 10,024.76 and 4,280.38

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Solution

The fourth proportional to 7,262.80, 10,024.76 and 4,280.38 is: 5,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.80 : 10,024.76 = 4,280.38 : x
  2. Step 2: Convert to fraction form
    7,262.80/10,024.76 = 4,280.38/x
  3. Step 3: Cross multiply
    7,262.80x = 10,024.76 × 4,280.38
  4. Step 4: Simplify right side
    7,262.80x = 42,909,767.85
  5. Step 5: Solve for x
    x = 42,909,767.85/7,262.80
  6. Step 6: Final answer
    x = 5,908.16

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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.