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Finding the Fourth Proportional to 11,752.78, 16,205.54 and 7,498.16

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Solution

The fourth proportional to 11,752.78, 16,205.54 and 7,498.16 is: 10,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.78 : 16,205.54 = 7,498.16 : x
  2. Step 2: Convert to fraction form
    11,752.78/16,205.54 = 7,498.16/x
  3. Step 3: Cross multiply
    11,752.78x = 16,205.54 × 7,498.16
  4. Step 4: Simplify right side
    11,752.78x = 121,511,731.81
  5. Step 5: Solve for x
    x = 121,511,731.81/11,752.78
  6. Step 6: Final answer
    x = 10,338.98

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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.