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Finding the Fourth Proportional to 8,407.27, 11,598.24 and 5,715.19

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Solution

The fourth proportional to 8,407.27, 11,598.24 and 5,715.19 is: 7,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.27 : 11,598.24 = 5,715.19 : x
  2. Step 2: Convert to fraction form
    8,407.27/11,598.24 = 5,715.19/x
  3. Step 3: Cross multiply
    8,407.27x = 11,598.24 × 5,715.19
  4. Step 4: Simplify right side
    8,407.27x = 66,286,145.27
  5. Step 5: Solve for x
    x = 66,286,145.27/8,407.27
  6. Step 6: Final answer
    x = 7,884.38

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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.