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Finding the Fourth Proportional to 11,949.68, 16,483.56 and 7,760.72

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Solution

The fourth proportional to 11,949.68, 16,483.56 and 7,760.72 is: 10,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.68 : 16,483.56 = 7,760.72 : x
  2. Step 2: Convert to fraction form
    11,949.68/16,483.56 = 7,760.72/x
  3. Step 3: Cross multiply
    11,949.68x = 16,483.56 × 7,760.72
  4. Step 4: Simplify right side
    11,949.68x = 127,924,293.76
  5. Step 5: Solve for x
    x = 127,924,293.76/11,949.68
  6. Step 6: Final answer
    x = 10,705.25

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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.