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Finding the Fourth Proportional to 8,315.78, 11,470.74 and 4,956.35

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Solution

The fourth proportional to 8,315.78, 11,470.74 and 4,956.35 is: 6,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.78 : 11,470.74 = 4,956.35 : x
  2. Step 2: Convert to fraction form
    8,315.78/11,470.74 = 4,956.35/x
  3. Step 3: Cross multiply
    8,315.78x = 11,470.74 × 4,956.35
  4. Step 4: Simplify right side
    8,315.78x = 56,853,002.20
  5. Step 5: Solve for x
    x = 56,853,002.20/8,315.78
  6. Step 6: Final answer
    x = 6,836.76

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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.