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Finding the Fourth Proportional to 8,313.18, 11,470.62 and 4,956.30

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Solution

The fourth proportional to 8,313.18, 11,470.62 and 4,956.30 is: 6,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.18 : 11,470.62 = 4,956.30 : x
  2. Step 2: Convert to fraction form
    8,313.18/11,470.62 = 4,956.30/x
  3. Step 3: Cross multiply
    8,313.18x = 11,470.62 × 4,956.30
  4. Step 4: Simplify right side
    8,313.18x = 56,851,833.91
  5. Step 5: Solve for x
    x = 56,851,833.91/8,313.18
  6. Step 6: Final answer
    x = 6,838.76

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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.