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Finding the Fourth Proportional to 8,041.68, 12,064.92 and 3,655.50

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Solution

The fourth proportional to 8,041.68, 12,064.92 and 3,655.50 is: 5,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.68 : 12,064.92 = 3,655.50 : x
  2. Step 2: Convert to fraction form
    8,041.68/12,064.92 = 3,655.50/x
  3. Step 3: Cross multiply
    8,041.68x = 12,064.92 × 3,655.50
  4. Step 4: Simplify right side
    8,041.68x = 44,103,315.06
  5. Step 5: Solve for x
    x = 44,103,315.06/8,041.68
  6. Step 6: Final answer
    x = 5,484.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.