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Finding the Fourth Proportional to 7,637.76, 10,535.84 and 4,493.12

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Solution

The fourth proportional to 7,637.76, 10,535.84 and 4,493.12 is: 6,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.76 : 10,535.84 = 4,493.12 : x
  2. Step 2: Convert to fraction form
    7,637.76/10,535.84 = 4,493.12/x
  3. Step 3: Cross multiply
    7,637.76x = 10,535.84 × 4,493.12
  4. Step 4: Simplify right side
    7,637.76x = 47,338,793.42
  5. Step 5: Solve for x
    x = 47,338,793.42/7,637.76
  6. Step 6: Final answer
    x = 6,197.99

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