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Finding the Fourth Proportional to 7,542.02, 10,408.94 and 4,957.14

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Solution

The fourth proportional to 7,542.02, 10,408.94 and 4,957.14 is: 6,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.02 : 10,408.94 = 4,957.14 : x
  2. Step 2: Convert to fraction form
    7,542.02/10,408.94 = 4,957.14/x
  3. Step 3: Cross multiply
    7,542.02x = 10,408.94 × 4,957.14
  4. Step 4: Simplify right side
    7,542.02x = 51,598,509.01
  5. Step 5: Solve for x
    x = 51,598,509.01/7,542.02
  6. Step 6: Final answer
    x = 6,841.48

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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.