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Finding the Fourth Proportional to 11,091.88, 15,314.48 and 10,386.10

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Solution

The fourth proportional to 11,091.88, 15,314.48 and 10,386.10 is: 14,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.88 : 15,314.48 = 10,386.10 : x
  2. Step 2: Convert to fraction form
    11,091.88/15,314.48 = 10,386.10/x
  3. Step 3: Cross multiply
    11,091.88x = 15,314.48 × 10,386.10
  4. Step 4: Simplify right side
    11,091.88x = 159,057,720.73
  5. Step 5: Solve for x
    x = 159,057,720.73/11,091.88
  6. Step 6: Final answer
    x = 14,340.01

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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.