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Finding the Fourth Proportional to 8,312.22, 11,470.95 and 4,956.96

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Solution

The fourth proportional to 8,312.22, 11,470.95 and 4,956.96 is: 6,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.22 : 11,470.95 = 4,956.96 : x
  2. Step 2: Convert to fraction form
    8,312.22/11,470.95 = 4,956.96/x
  3. Step 3: Cross multiply
    8,312.22x = 11,470.95 × 4,956.96
  4. Step 4: Simplify right side
    8,312.22x = 56,861,040.31
  5. Step 5: Solve for x
    x = 56,861,040.31/8,312.22
  6. Step 6: Final answer
    x = 6,840.66

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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.