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Finding the Fourth Proportional to 10,730.96, 14,812.92 and 8,212.92

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Solution

The fourth proportional to 10,730.96, 14,812.92 and 8,212.92 is: 11,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.96 : 14,812.92 = 8,212.92 : x
  2. Step 2: Convert to fraction form
    10,730.96/14,812.92 = 8,212.92/x
  3. Step 3: Cross multiply
    10,730.96x = 14,812.92 × 8,212.92
  4. Step 4: Simplify right side
    10,730.96x = 121,657,326.93
  5. Step 5: Solve for x
    x = 121,657,326.93/10,730.96
  6. Step 6: Final answer
    x = 11,337.04

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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.