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Finding the Fourth Proportional to 7,468.65, 10,306.98 and 4,111.81

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Solution

The fourth proportional to 7,468.65, 10,306.98 and 4,111.81 is: 5,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.65 : 10,306.98 = 4,111.81 : x
  2. Step 2: Convert to fraction form
    7,468.65/10,306.98 = 4,111.81/x
  3. Step 3: Cross multiply
    7,468.65x = 10,306.98 × 4,111.81
  4. Step 4: Simplify right side
    7,468.65x = 42,380,317.67
  5. Step 5: Solve for x
    x = 42,380,317.67/7,468.65
  6. Step 6: Final answer
    x = 5,674.43

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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.