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Finding the Fourth Proportional to 6,611.52, 9,871.92 and 5,637.12

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Solution

The fourth proportional to 6,611.52, 9,871.92 and 5,637.12 is: 8,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.52 : 9,871.92 = 5,637.12 : x
  2. Step 2: Convert to fraction form
    6,611.52/9,871.92 = 5,637.12/x
  3. Step 3: Cross multiply
    6,611.52x = 9,871.92 × 5,637.12
  4. Step 4: Simplify right side
    6,611.52x = 55,649,197.67
  5. Step 5: Solve for x
    x = 55,649,197.67/6,611.52
  6. Step 6: Final answer
    x = 8,417.01

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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.