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Finding the Fourth Proportional to 7,568.65, 10,444.88 and 4,211.61

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Solution

The fourth proportional to 7,568.65, 10,444.88 and 4,211.61 is: 5,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.65 : 10,444.88 = 4,211.61 : x
  2. Step 2: Convert to fraction form
    7,568.65/10,444.88 = 4,211.61/x
  3. Step 3: Cross multiply
    7,568.65x = 10,444.88 × 4,211.61
  4. Step 4: Simplify right side
    7,568.65x = 43,989,732.42
  5. Step 5: Solve for x
    x = 43,989,732.42/7,568.65
  6. Step 6: Final answer
    x = 5,812.10

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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.