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Finding the Fourth Proportional to 8,234.40, 11,363.44 and 4,697.58

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Solution

The fourth proportional to 8,234.40, 11,363.44 and 4,697.58 is: 6,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 11,363.44 = 4,697.58 : x
  2. Step 2: Convert to fraction form
    8,234.40/11,363.44 = 4,697.58/x
  3. Step 3: Cross multiply
    8,234.40x = 11,363.44 × 4,697.58
  4. Step 4: Simplify right side
    8,234.40x = 53,380,668.48
  5. Step 5: Solve for x
    x = 53,380,668.48/8,234.40
  6. Step 6: Final answer
    x = 6,482.64

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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.