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Finding the Fourth Proportional to 7,568.77, 10,440.59 and 4,543.09

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Solution

The fourth proportional to 7,568.77, 10,440.59 and 4,543.09 is: 6,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.77 : 10,440.59 = 4,543.09 : x
  2. Step 2: Convert to fraction form
    7,568.77/10,440.59 = 4,543.09/x
  3. Step 3: Cross multiply
    7,568.77x = 10,440.59 × 4,543.09
  4. Step 4: Simplify right side
    7,568.77x = 47,432,465.10
  5. Step 5: Solve for x
    x = 47,432,465.10/7,568.77
  6. Step 6: Final answer
    x = 6,266.87

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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.