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Finding the Fourth Proportional to 11,126.84, 15,322.38 and 9,947.48

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Solution

The fourth proportional to 11,126.84, 15,322.38 and 9,947.48 is: 13,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,126.84 : 15,322.38 = 9,947.48 : x
  2. Step 2: Convert to fraction form
    11,126.84/15,322.38 = 9,947.48/x
  3. Step 3: Cross multiply
    11,126.84x = 15,322.38 × 9,947.48
  4. Step 4: Simplify right side
    11,126.84x = 152,419,068.60
  5. Step 5: Solve for x
    x = 152,419,068.60/11,126.84
  6. Step 6: Final answer
    x = 13,698.32

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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.