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Finding the Fourth Proportional to 8,230.32, 11,357.28 and 4,693.68

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Solution

The fourth proportional to 8,230.32, 11,357.28 and 4,693.68 is: 6,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.32 : 11,357.28 = 4,693.68 : x
  2. Step 2: Convert to fraction form
    8,230.32/11,357.28 = 4,693.68/x
  3. Step 3: Cross multiply
    8,230.32x = 11,357.28 × 4,693.68
  4. Step 4: Simplify right side
    8,230.32x = 53,307,437.99
  5. Step 5: Solve for x
    x = 53,307,437.99/8,230.32
  6. Step 6: Final answer
    x = 6,476.96

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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.