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Finding the Fourth Proportional to 8,824.80, 12,157.38 and 7,561.74

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Solution

The fourth proportional to 8,824.80, 12,157.38 and 7,561.74 is: 10,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.80 : 12,157.38 = 7,561.74 : x
  2. Step 2: Convert to fraction form
    8,824.80/12,157.38 = 7,561.74/x
  3. Step 3: Cross multiply
    8,824.80x = 12,157.38 × 7,561.74
  4. Step 4: Simplify right side
    8,824.80x = 91,930,946.64
  5. Step 5: Solve for x
    x = 91,930,946.64/8,824.80
  6. Step 6: Final answer
    x = 10,417.34

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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.