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Finding the Fourth Proportional to 7,568.17, 10,444.02 and 4,165.39

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Solution

The fourth proportional to 7,568.17, 10,444.02 and 4,165.39 is: 5,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.17 : 10,444.02 = 4,165.39 : x
  2. Step 2: Convert to fraction form
    7,568.17/10,444.02 = 4,165.39/x
  3. Step 3: Cross multiply
    7,568.17x = 10,444.02 × 4,165.39
  4. Step 4: Simplify right side
    7,568.17x = 43,503,390.36
  5. Step 5: Solve for x
    x = 43,503,390.36/7,568.17
  6. Step 6: Final answer
    x = 5,748.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.