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Finding the Fourth Proportional to 8,897.92, 12,278.40 and 5,752.96

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Solution

The fourth proportional to 8,897.92, 12,278.40 and 5,752.96 is: 7,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.92 : 12,278.40 = 5,752.96 : x
  2. Step 2: Convert to fraction form
    8,897.92/12,278.40 = 5,752.96/x
  3. Step 3: Cross multiply
    8,897.92x = 12,278.40 × 5,752.96
  4. Step 4: Simplify right side
    8,897.92x = 70,637,144.06
  5. Step 5: Solve for x
    x = 70,637,144.06/8,897.92
  6. Step 6: Final answer
    x = 7,938.61

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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.