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Finding the Fourth Proportional to 8,273.39, 11,417.49 and 4,737.74

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Solution

The fourth proportional to 8,273.39, 11,417.49 and 4,737.74 is: 6,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.39 : 11,417.49 = 4,737.74 : x
  2. Step 2: Convert to fraction form
    8,273.39/11,417.49 = 4,737.74/x
  3. Step 3: Cross multiply
    8,273.39x = 11,417.49 × 4,737.74
  4. Step 4: Simplify right side
    8,273.39x = 54,093,041.99
  5. Step 5: Solve for x
    x = 54,093,041.99/8,273.39
  6. Step 6: Final answer
    x = 6,538.20

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Why These Related Problems?

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