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Finding the Fourth Proportional to 8,239.31, 12,353.49 and 5,316.02

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Solution

The fourth proportional to 8,239.31, 12,353.49 and 5,316.02 is: 7,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.31 : 12,353.49 = 5,316.02 : x
  2. Step 2: Convert to fraction form
    8,239.31/12,353.49 = 5,316.02/x
  3. Step 3: Cross multiply
    8,239.31x = 12,353.49 × 5,316.02
  4. Step 4: Simplify right side
    8,239.31x = 65,671,399.91
  5. Step 5: Solve for x
    x = 65,671,399.91/8,239.31
  6. Step 6: Final answer
    x = 7,970.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.