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Finding the Fourth Proportional to 8,901.75, 12,285.51 and 5,175.75

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Solution

The fourth proportional to 8,901.75, 12,285.51 and 5,175.75 is: 7,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.75 : 12,285.51 = 5,175.75 : x
  2. Step 2: Convert to fraction form
    8,901.75/12,285.51 = 5,175.75/x
  3. Step 3: Cross multiply
    8,901.75x = 12,285.51 × 5,175.75
  4. Step 4: Simplify right side
    8,901.75x = 63,586,728.38
  5. Step 5: Solve for x
    x = 63,586,728.38/8,901.75
  6. Step 6: Final answer
    x = 7,143.17

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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.