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Finding the Fourth Proportional to 11,433.18, 15,780.24 and 7,447.18

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Solution

The fourth proportional to 11,433.18, 15,780.24 and 7,447.18 is: 10,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.18 : 15,780.24 = 7,447.18 : x
  2. Step 2: Convert to fraction form
    11,433.18/15,780.24 = 7,447.18/x
  3. Step 3: Cross multiply
    11,433.18x = 15,780.24 × 7,447.18
  4. Step 4: Simplify right side
    11,433.18x = 117,518,287.72
  5. Step 5: Solve for x
    x = 117,518,287.72/11,433.18
  6. Step 6: Final answer
    x = 10,278.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.