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Finding the Fourth Proportional to 8,364.74, 12,547.11 and 2,125.22

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Solution

The fourth proportional to 8,364.74, 12,547.11 and 2,125.22 is: 3,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.74 : 12,547.11 = 2,125.22 : x
  2. Step 2: Convert to fraction form
    8,364.74/12,547.11 = 2,125.22/x
  3. Step 3: Cross multiply
    8,364.74x = 12,547.11 × 2,125.22
  4. Step 4: Simplify right side
    8,364.74x = 26,665,306.38
  5. Step 5: Solve for x
    x = 26,665,306.38/8,364.74
  6. Step 6: Final answer
    x = 3,187.82

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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.