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Finding the Fourth Proportional to 7,837.77, 10,815.93 and 4,252.53

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Solution

The fourth proportional to 7,837.77, 10,815.93 and 4,252.53 is: 5,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.77 : 10,815.93 = 4,252.53 : x
  2. Step 2: Convert to fraction form
    7,837.77/10,815.93 = 4,252.53/x
  3. Step 3: Cross multiply
    7,837.77x = 10,815.93 × 4,252.53
  4. Step 4: Simplify right side
    7,837.77x = 45,995,066.80
  5. Step 5: Solve for x
    x = 45,995,066.80/7,837.77
  6. Step 6: Final answer
    x = 5,868.39

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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.