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Finding the Fourth Proportional to 8,386.07, 11,576.30 and 5,661.11

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Solution

The fourth proportional to 8,386.07, 11,576.30 and 5,661.11 is: 7,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.07 : 11,576.30 = 5,661.11 : x
  2. Step 2: Convert to fraction form
    8,386.07/11,576.30 = 5,661.11/x
  3. Step 3: Cross multiply
    8,386.07x = 11,576.30 × 5,661.11
  4. Step 4: Simplify right side
    8,386.07x = 65,534,708.33
  5. Step 5: Solve for x
    x = 65,534,708.33/8,386.07
  6. Step 6: Final answer
    x = 7,814.72

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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.