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Finding the Fourth Proportional to 10,072.66, 13,902.48 and 5,597.94

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Solution

The fourth proportional to 10,072.66, 13,902.48 and 5,597.94 is: 7,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.66 : 13,902.48 = 5,597.94 : x
  2. Step 2: Convert to fraction form
    10,072.66/13,902.48 = 5,597.94/x
  3. Step 3: Cross multiply
    10,072.66x = 13,902.48 × 5,597.94
  4. Step 4: Simplify right side
    10,072.66x = 77,825,248.89
  5. Step 5: Solve for x
    x = 77,825,248.89/10,072.66
  6. Step 6: Final answer
    x = 7,726.38

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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.