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Finding the Fourth Proportional to 11,275.78, 15,573.42 and 7,684.54

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Solution

The fourth proportional to 11,275.78, 15,573.42 and 7,684.54 is: 10,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.78 : 15,573.42 = 7,684.54 : x
  2. Step 2: Convert to fraction form
    11,275.78/15,573.42 = 7,684.54/x
  3. Step 3: Cross multiply
    11,275.78x = 15,573.42 × 7,684.54
  4. Step 4: Simplify right side
    11,275.78x = 119,674,568.93
  5. Step 5: Solve for x
    x = 119,674,568.93/11,275.78
  6. Step 6: Final answer
    x = 10,613.42

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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.