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Finding the Fourth Proportional to 7,568.94, 10,445.52 and 4,212.06

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Solution

The fourth proportional to 7,568.94, 10,445.52 and 4,212.06 is: 5,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.94 : 10,445.52 = 4,212.06 : x
  2. Step 2: Convert to fraction form
    7,568.94/10,445.52 = 4,212.06/x
  3. Step 3: Cross multiply
    7,568.94x = 10,445.52 × 4,212.06
  4. Step 4: Simplify right side
    7,568.94x = 43,997,156.97
  5. Step 5: Solve for x
    x = 43,997,156.97/7,568.94
  6. Step 6: Final answer
    x = 5,812.86

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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.