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Finding the Fourth Proportional to 11,522.10, 15,901.07 and 6,486.06

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Solution

The fourth proportional to 11,522.10, 15,901.07 and 6,486.06 is: 8,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.10 : 15,901.07 = 6,486.06 : x
  2. Step 2: Convert to fraction form
    11,522.10/15,901.07 = 6,486.06/x
  3. Step 3: Cross multiply
    11,522.10x = 15,901.07 × 6,486.06
  4. Step 4: Simplify right side
    11,522.10x = 103,135,261.65
  5. Step 5: Solve for x
    x = 103,135,261.65/11,522.10
  6. Step 6: Final answer
    x = 8,951.08

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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.