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Finding the Fourth Proportional to 11,172.65, 15,436.91 and 9,306.41

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Solution

The fourth proportional to 11,172.65, 15,436.91 and 9,306.41 is: 12,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.65 : 15,436.91 = 9,306.41 : x
  2. Step 2: Convert to fraction form
    11,172.65/15,436.91 = 9,306.41/x
  3. Step 3: Cross multiply
    11,172.65x = 15,436.91 × 9,306.41
  4. Step 4: Simplify right side
    11,172.65x = 143,662,159.67
  5. Step 5: Solve for x
    x = 143,662,159.67/11,172.65
  6. Step 6: Final answer
    x = 12,858.38

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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.