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Finding the Fourth Proportional to 10,048.98, 13,867.11 and 5,572.38

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Solution

The fourth proportional to 10,048.98, 13,867.11 and 5,572.38 is: 7,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.98 : 13,867.11 = 5,572.38 : x
  2. Step 2: Convert to fraction form
    10,048.98/13,867.11 = 5,572.38/x
  3. Step 3: Cross multiply
    10,048.98x = 13,867.11 × 5,572.38
  4. Step 4: Simplify right side
    10,048.98x = 77,272,806.42
  5. Step 5: Solve for x
    x = 77,272,806.42/10,048.98
  6. Step 6: Final answer
    x = 7,689.62

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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.