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Finding the Fourth Proportional to 7,641.56, 11,458.08 and 2,642.45

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Solution

The fourth proportional to 7,641.56, 11,458.08 and 2,642.45 is: 3,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.56 : 11,458.08 = 2,642.45 : x
  2. Step 2: Convert to fraction form
    7,641.56/11,458.08 = 2,642.45/x
  3. Step 3: Cross multiply
    7,641.56x = 11,458.08 × 2,642.45
  4. Step 4: Simplify right side
    7,641.56x = 30,277,346.21
  5. Step 5: Solve for x
    x = 30,277,346.21/7,641.56
  6. Step 6: Final answer
    x = 3,962.19

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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.