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Finding the Fourth Proportional to 8,312.98, 11,470.33 and 4,956.10

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Solution

The fourth proportional to 8,312.98, 11,470.33 and 4,956.10 is: 6,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.98 : 11,470.33 = 4,956.10 : x
  2. Step 2: Convert to fraction form
    8,312.98/11,470.33 = 4,956.10/x
  3. Step 3: Cross multiply
    8,312.98x = 11,470.33 × 4,956.10
  4. Step 4: Simplify right side
    8,312.98x = 56,848,077.73
  5. Step 5: Solve for x
    x = 56,848,077.73/8,312.98
  6. Step 6: Final answer
    x = 6,838.48

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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.