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Finding the Fourth Proportional to 7,402.41, 10,215.16 and 4,045.23

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Solution

The fourth proportional to 7,402.41, 10,215.16 and 4,045.23 is: 5,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.41 : 10,215.16 = 4,045.23 : x
  2. Step 2: Convert to fraction form
    7,402.41/10,215.16 = 4,045.23/x
  3. Step 3: Cross multiply
    7,402.41x = 10,215.16 × 4,045.23
  4. Step 4: Simplify right side
    7,402.41x = 41,322,671.69
  5. Step 5: Solve for x
    x = 41,322,671.69/7,402.41
  6. Step 6: Final answer
    x = 5,582.33

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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.