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Finding the Fourth Proportional to 10,441.76, 15,645.32 and 7,515.68

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Solution

The fourth proportional to 10,441.76, 15,645.32 and 7,515.68 is: 11,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.76 : 15,645.32 = 7,515.68 : x
  2. Step 2: Convert to fraction form
    10,441.76/15,645.32 = 7,515.68/x
  3. Step 3: Cross multiply
    10,441.76x = 15,645.32 × 7,515.68
  4. Step 4: Simplify right side
    10,441.76x = 117,585,218.62
  5. Step 5: Solve for x
    x = 117,585,218.62/10,441.76
  6. Step 6: Final answer
    x = 11,261.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.