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Finding the Fourth Proportional to 7,578.24, 11,407.62 and 5,402.04

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Solution

The fourth proportional to 7,578.24, 11,407.62 and 5,402.04 is: 8,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.24 : 11,407.62 = 5,402.04 : x
  2. Step 2: Convert to fraction form
    7,578.24/11,407.62 = 5,402.04/x
  3. Step 3: Cross multiply
    7,578.24x = 11,407.62 × 5,402.04
  4. Step 4: Simplify right side
    7,578.24x = 61,624,419.54
  5. Step 5: Solve for x
    x = 61,624,419.54/7,578.24
  6. Step 6: Final answer
    x = 8,131.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.