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Finding the Fourth Proportional to 8,341.93, 12,428.93 and 8,221.65

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Solution

The fourth proportional to 8,341.93, 12,428.93 and 8,221.65 is: 12,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.93 : 12,428.93 = 8,221.65 : x
  2. Step 2: Convert to fraction form
    8,341.93/12,428.93 = 8,221.65/x
  3. Step 3: Cross multiply
    8,341.93x = 12,428.93 × 8,221.65
  4. Step 4: Simplify right side
    8,341.93x = 102,186,312.33
  5. Step 5: Solve for x
    x = 102,186,312.33/8,341.93
  6. Step 6: Final answer
    x = 12,249.72

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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.