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Finding the Fourth Proportional to 8,581, 11,833.62 and 5,599.12

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Solution

The fourth proportional to 8,581, 11,833.62 and 5,599.12 is: 7,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581 : 11,833.62 = 5,599.12 : x
  2. Step 2: Convert to fraction form
    8,581/11,833.62 = 5,599.12/x
  3. Step 3: Cross multiply
    8,581x = 11,833.62 × 5,599.12
  4. Step 4: Simplify right side
    8,581x = 66,257,858.41
  5. Step 5: Solve for x
    x = 66,257,858.41/8,581
  6. Step 6: Final answer
    x = 7,721.46

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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.