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Finding the Fourth Proportional to 7,468.52, 10,305.78 and 4,324.10

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Solution

The fourth proportional to 7,468.52, 10,305.78 and 4,324.10 is: 5,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.52 : 10,305.78 = 4,324.10 : x
  2. Step 2: Convert to fraction form
    7,468.52/10,305.78 = 4,324.10/x
  3. Step 3: Cross multiply
    7,468.52x = 10,305.78 × 4,324.10
  4. Step 4: Simplify right side
    7,468.52x = 44,563,223.30
  5. Step 5: Solve for x
    x = 44,563,223.30/7,468.52
  6. Step 6: Final answer
    x = 5,966.81

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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.