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Finding the Fourth Proportional to 10,294.24, 14,206.14 and 6,044.20

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Solution

The fourth proportional to 10,294.24, 14,206.14 and 6,044.20 is: 8,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.24 : 14,206.14 = 6,044.20 : x
  2. Step 2: Convert to fraction form
    10,294.24/14,206.14 = 6,044.20/x
  3. Step 3: Cross multiply
    10,294.24x = 14,206.14 × 6,044.20
  4. Step 4: Simplify right side
    10,294.24x = 85,864,751.39
  5. Step 5: Solve for x
    x = 85,864,751.39/10,294.24
  6. Step 6: Final answer
    x = 8,341.05

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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.