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Finding the Fourth Proportional to 10,512.29, 14,506.44 and 5,974.38

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Solution

The fourth proportional to 10,512.29, 14,506.44 and 5,974.38 is: 8,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.29 : 14,506.44 = 5,974.38 : x
  2. Step 2: Convert to fraction form
    10,512.29/14,506.44 = 5,974.38/x
  3. Step 3: Cross multiply
    10,512.29x = 14,506.44 × 5,974.38
  4. Step 4: Simplify right side
    10,512.29x = 86,666,955.14
  5. Step 5: Solve for x
    x = 86,666,955.14/10,512.29
  6. Step 6: Final answer
    x = 8,244.35

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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.