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Finding the Fourth Proportional to 8,165.54, 12,248.45 and 2,322.30

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Solution

The fourth proportional to 8,165.54, 12,248.45 and 2,322.30 is: 3,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.54 : 12,248.45 = 2,322.30 : x
  2. Step 2: Convert to fraction form
    8,165.54/12,248.45 = 2,322.30/x
  3. Step 3: Cross multiply
    8,165.54x = 12,248.45 × 2,322.30
  4. Step 4: Simplify right side
    8,165.54x = 28,444,563.82
  5. Step 5: Solve for x
    x = 28,444,563.82/8,165.54
  6. Step 6: Final answer
    x = 3,483.49

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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.