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Finding the Fourth Proportional to 11,652.04, 16,074.69 and 7,873.82

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Solution

The fourth proportional to 11,652.04, 16,074.69 and 7,873.82 is: 10,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.04 : 16,074.69 = 7,873.82 : x
  2. Step 2: Convert to fraction form
    11,652.04/16,074.69 = 7,873.82/x
  3. Step 3: Cross multiply
    11,652.04x = 16,074.69 × 7,873.82
  4. Step 4: Simplify right side
    11,652.04x = 126,569,256.42
  5. Step 5: Solve for x
    x = 126,569,256.42/11,652.04
  6. Step 6: Final answer
    x = 10,862.42

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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.