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Finding the Fourth Proportional to 8,193.16, 12,284.04 and 4,182.76

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Solution

The fourth proportional to 8,193.16, 12,284.04 and 4,182.76 is: 6,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.16 : 12,284.04 = 4,182.76 : x
  2. Step 2: Convert to fraction form
    8,193.16/12,284.04 = 4,182.76/x
  3. Step 3: Cross multiply
    8,193.16x = 12,284.04 × 4,182.76
  4. Step 4: Simplify right side
    8,193.16x = 51,381,250.86
  5. Step 5: Solve for x
    x = 51,381,250.86/8,193.16
  6. Step 6: Final answer
    x = 6,271.24

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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.