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Finding the Fourth Proportional to 7,468.72, 10,306.78 and 4,111.84

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Solution

The fourth proportional to 7,468.72, 10,306.78 and 4,111.84 is: 5,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.72 : 10,306.78 = 4,111.84 : x
  2. Step 2: Convert to fraction form
    7,468.72/10,306.78 = 4,111.84/x
  3. Step 3: Cross multiply
    7,468.72x = 10,306.78 × 4,111.84
  4. Step 4: Simplify right side
    7,468.72x = 42,379,830.28
  5. Step 5: Solve for x
    x = 42,379,830.28/7,468.72
  6. Step 6: Final answer
    x = 5,674.31

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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.