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Finding the Fourth Proportional to 8,176.16, 12,264.69 and 2,332.30

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Solution

The fourth proportional to 8,176.16, 12,264.69 and 2,332.30 is: 3,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.16 : 12,264.69 = 2,332.30 : x
  2. Step 2: Convert to fraction form
    8,176.16/12,264.69 = 2,332.30/x
  3. Step 3: Cross multiply
    8,176.16x = 12,264.69 × 2,332.30
  4. Step 4: Simplify right side
    8,176.16x = 28,604,936.49
  5. Step 5: Solve for x
    x = 28,604,936.49/8,176.16
  6. Step 6: Final answer
    x = 3,498.58

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