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Finding the Fourth Proportional to 11,524.38, 15,870.18 and 10,011.25

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Solution

The fourth proportional to 11,524.38, 15,870.18 and 10,011.25 is: 13,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.38 : 15,870.18 = 10,011.25 : x
  2. Step 2: Convert to fraction form
    11,524.38/15,870.18 = 10,011.25/x
  3. Step 3: Cross multiply
    11,524.38x = 15,870.18 × 10,011.25
  4. Step 4: Simplify right side
    11,524.38x = 158,880,251.32
  5. Step 5: Solve for x
    x = 158,880,251.32/11,524.38
  6. Step 6: Final answer
    x = 13,786.45

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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.