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Finding the Fourth Proportional to 8,148.16, 12,214.72 and 2,952.64

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Solution

The fourth proportional to 8,148.16, 12,214.72 and 2,952.64 is: 4,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.16 : 12,214.72 = 2,952.64 : x
  2. Step 2: Convert to fraction form
    8,148.16/12,214.72 = 2,952.64/x
  3. Step 3: Cross multiply
    8,148.16x = 12,214.72 × 2,952.64
  4. Step 4: Simplify right side
    8,148.16x = 36,065,670.86
  5. Step 5: Solve for x
    x = 36,065,670.86/8,148.16
  6. Step 6: Final answer
    x = 4,426.23

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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.