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Finding the Fourth Proportional to 8,312.42, 11,470.41 and 4,727.16

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Solution

The fourth proportional to 8,312.42, 11,470.41 and 4,727.16 is: 6,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.42 : 11,470.41 = 4,727.16 : x
  2. Step 2: Convert to fraction form
    8,312.42/11,470.41 = 4,727.16/x
  3. Step 3: Cross multiply
    8,312.42x = 11,470.41 × 4,727.16
  4. Step 4: Simplify right side
    8,312.42x = 54,222,463.34
  5. Step 5: Solve for x
    x = 54,222,463.34/8,312.42
  6. Step 6: Final answer
    x = 6,523.06

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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.