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Finding the Fourth Proportional to 8,234.63, 11,363.79 and 4,697.76

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Solution

The fourth proportional to 8,234.63, 11,363.79 and 4,697.76 is: 6,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.63 : 11,363.79 = 4,697.76 : x
  2. Step 2: Convert to fraction form
    8,234.63/11,363.79 = 4,697.76/x
  3. Step 3: Cross multiply
    8,234.63x = 11,363.79 × 4,697.76
  4. Step 4: Simplify right side
    8,234.63x = 53,384,358.11
  5. Step 5: Solve for x
    x = 53,384,358.11/8,234.63
  6. Step 6: Final answer
    x = 6,482.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.