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Finding the Fourth Proportional to 7,642.08, 11,461.64 and 3,480.92

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Solution

The fourth proportional to 7,642.08, 11,461.64 and 3,480.92 is: 5,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.08 : 11,461.64 = 3,480.92 : x
  2. Step 2: Convert to fraction form
    7,642.08/11,461.64 = 3,480.92/x
  3. Step 3: Cross multiply
    7,642.08x = 11,461.64 × 3,480.92
  4. Step 4: Simplify right side
    7,642.08x = 39,897,051.91
  5. Step 5: Solve for x
    x = 39,897,051.91/7,642.08
  6. Step 6: Final answer
    x = 5,220.71

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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.