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Finding the Fourth Proportional to 11,100.96, 15,319.38 and 6,065.28

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Solution

The fourth proportional to 11,100.96, 15,319.38 and 6,065.28 is: 8,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100.96 : 15,319.38 = 6,065.28 : x
  2. Step 2: Convert to fraction form
    11,100.96/15,319.38 = 6,065.28/x
  3. Step 3: Cross multiply
    11,100.96x = 15,319.38 × 6,065.28
  4. Step 4: Simplify right side
    11,100.96x = 92,916,329.13
  5. Step 5: Solve for x
    x = 92,916,329.13/11,100.96
  6. Step 6: Final answer
    x = 8,370.12

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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.