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Finding the Fourth Proportional to 10,045.43, 15,066.43 and 2,649.96

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Solution

The fourth proportional to 10,045.43, 15,066.43 and 2,649.96 is: 3,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.43 : 15,066.43 = 2,649.96 : x
  2. Step 2: Convert to fraction form
    10,045.43/15,066.43 = 2,649.96/x
  3. Step 3: Cross multiply
    10,045.43x = 15,066.43 × 2,649.96
  4. Step 4: Simplify right side
    10,045.43x = 39,925,436.84
  5. Step 5: Solve for x
    x = 39,925,436.84/10,045.43
  6. Step 6: Final answer
    x = 3,974.49

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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.