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Finding the Fourth Proportional to 11,641.76, 16,054.56 and 7,661.12

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Solution

The fourth proportional to 11,641.76, 16,054.56 and 7,661.12 is: 10,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.76 : 16,054.56 = 7,661.12 : x
  2. Step 2: Convert to fraction form
    11,641.76/16,054.56 = 7,661.12/x
  3. Step 3: Cross multiply
    11,641.76x = 16,054.56 × 7,661.12
  4. Step 4: Simplify right side
    11,641.76x = 122,995,910.71
  5. Step 5: Solve for x
    x = 122,995,910.71/11,641.76
  6. Step 6: Final answer
    x = 10,565.06

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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.