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Finding the Fourth Proportional to 7,768, 10,723.17 and 5,253.58

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Solution

The fourth proportional to 7,768, 10,723.17 and 5,253.58 is: 7,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768 : 10,723.17 = 5,253.58 : x
  2. Step 2: Convert to fraction form
    7,768/10,723.17 = 5,253.58/x
  3. Step 3: Cross multiply
    7,768x = 10,723.17 × 5,253.58
  4. Step 4: Simplify right side
    7,768x = 56,335,031.45
  5. Step 5: Solve for x
    x = 56,335,031.45/7,768
  6. Step 6: Final answer
    x = 7,252.19

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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.