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Finding the Fourth Proportional to 10,304.06, 14,204.10 and 8,062.04

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Solution

The fourth proportional to 10,304.06, 14,204.10 and 8,062.04 is: 11,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.06 : 14,204.10 = 8,062.04 : x
  2. Step 2: Convert to fraction form
    10,304.06/14,204.10 = 8,062.04/x
  3. Step 3: Cross multiply
    10,304.06x = 14,204.10 × 8,062.04
  4. Step 4: Simplify right side
    10,304.06x = 114,513,974.38
  5. Step 5: Solve for x
    x = 114,513,974.38/10,304.06
  6. Step 6: Final answer
    x = 11,113.48

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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.