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Finding the Fourth Proportional to 11,641.32, 17,458.92 and 5,065.98

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Solution

The fourth proportional to 11,641.32, 17,458.92 and 5,065.98 is: 7,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.32 : 17,458.92 = 5,065.98 : x
  2. Step 2: Convert to fraction form
    11,641.32/17,458.92 = 5,065.98/x
  3. Step 3: Cross multiply
    11,641.32x = 17,458.92 × 5,065.98
  4. Step 4: Simplify right side
    11,641.32x = 88,446,539.54
  5. Step 5: Solve for x
    x = 88,446,539.54/11,641.32
  6. Step 6: Final answer
    x = 7,597.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.