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Finding the Fourth Proportional to 7,909.56, 11,780.64 and 7,493.16

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Solution

The fourth proportional to 7,909.56, 11,780.64 and 7,493.16 is: 11,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.56 : 11,780.64 = 7,493.16 : x
  2. Step 2: Convert to fraction form
    7,909.56/11,780.64 = 7,493.16/x
  3. Step 3: Cross multiply
    7,909.56x = 11,780.64 × 7,493.16
  4. Step 4: Simplify right side
    7,909.56x = 88,274,220.42
  5. Step 5: Solve for x
    x = 88,274,220.42/7,909.56
  6. Step 6: Final answer
    x = 11,160.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.