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Finding the Fourth Proportional to 11,135.13, 15,378.38 and 7,566.04

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Solution

The fourth proportional to 11,135.13, 15,378.38 and 7,566.04 is: 10,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.13 : 15,378.38 = 7,566.04 : x
  2. Step 2: Convert to fraction form
    11,135.13/15,378.38 = 7,566.04/x
  3. Step 3: Cross multiply
    11,135.13x = 15,378.38 × 7,566.04
  4. Step 4: Simplify right side
    11,135.13x = 116,353,438.22
  5. Step 5: Solve for x
    x = 116,353,438.22/11,135.13
  6. Step 6: Final answer
    x = 10,449.22

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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.