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Finding the Fourth Proportional to 11,306.46, 15,599.82 and 7,058.19

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Solution

The fourth proportional to 11,306.46, 15,599.82 and 7,058.19 is: 9,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.46 : 15,599.82 = 7,058.19 : x
  2. Step 2: Convert to fraction form
    11,306.46/15,599.82 = 7,058.19/x
  3. Step 3: Cross multiply
    11,306.46x = 15,599.82 × 7,058.19
  4. Step 4: Simplify right side
    11,306.46x = 110,106,493.53
  5. Step 5: Solve for x
    x = 110,106,493.53/11,306.46
  6. Step 6: Final answer
    x = 9,738.37

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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.