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Finding the Fourth Proportional to 7,560.68, 10,430.92 and 5,576

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Solution

The fourth proportional to 7,560.68, 10,430.92 and 5,576 is: 7,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.68 : 10,430.92 = 5,576 : x
  2. Step 2: Convert to fraction form
    7,560.68/10,430.92 = 5,576/x
  3. Step 3: Cross multiply
    7,560.68x = 10,430.92 × 5,576
  4. Step 4: Simplify right side
    7,560.68x = 58,162,809.92
  5. Step 5: Solve for x
    x = 58,162,809.92/7,560.68
  6. Step 6: Final answer
    x = 7,692.80

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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.