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Finding the Fourth Proportional to 7,402.68, 10,215.88 and 4,045.44

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Solution

The fourth proportional to 7,402.68, 10,215.88 and 4,045.44 is: 5,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.68 : 10,215.88 = 4,045.44 : x
  2. Step 2: Convert to fraction form
    7,402.68/10,215.88 = 4,045.44/x
  3. Step 3: Cross multiply
    7,402.68x = 10,215.88 × 4,045.44
  4. Step 4: Simplify right side
    7,402.68x = 41,327,729.59
  5. Step 5: Solve for x
    x = 41,327,729.59/7,402.68
  6. Step 6: Final answer
    x = 5,582.81

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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.