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Finding the Fourth Proportional to 8,337.68, 11,457.85 and 7,952.20

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Solution

The fourth proportional to 8,337.68, 11,457.85 and 7,952.20 is: 10,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.68 : 11,457.85 = 7,952.20 : x
  2. Step 2: Convert to fraction form
    8,337.68/11,457.85 = 7,952.20/x
  3. Step 3: Cross multiply
    8,337.68x = 11,457.85 × 7,952.20
  4. Step 4: Simplify right side
    8,337.68x = 91,115,114.77
  5. Step 5: Solve for x
    x = 91,115,114.77/8,337.68
  6. Step 6: Final answer
    x = 10,928.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.