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Finding the Fourth Proportional to 11,041.16, 15,235.42 and 7,463.90

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Solution

The fourth proportional to 11,041.16, 15,235.42 and 7,463.90 is: 10,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.16 : 15,235.42 = 7,463.90 : x
  2. Step 2: Convert to fraction form
    11,041.16/15,235.42 = 7,463.90/x
  3. Step 3: Cross multiply
    11,041.16x = 15,235.42 × 7,463.90
  4. Step 4: Simplify right side
    11,041.16x = 113,715,626.28
  5. Step 5: Solve for x
    x = 113,715,626.28/11,041.16
  6. Step 6: Final answer
    x = 10,299.25

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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.