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Finding the Fourth Proportional to 8,262.36, 12,378.96 and 4,358.16

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Solution

The fourth proportional to 8,262.36, 12,378.96 and 4,358.16 is: 6,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.36 : 12,378.96 = 4,358.16 : x
  2. Step 2: Convert to fraction form
    8,262.36/12,378.96 = 4,358.16/x
  3. Step 3: Cross multiply
    8,262.36x = 12,378.96 × 4,358.16
  4. Step 4: Simplify right side
    8,262.36x = 53,949,488.31
  5. Step 5: Solve for x
    x = 53,949,488.31/8,262.36
  6. Step 6: Final answer
    x = 6,529.55

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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.