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Finding the Fourth Proportional to 7,807.44, 10,775.84 and 5,422.39

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Solution

The fourth proportional to 7,807.44, 10,775.84 and 5,422.39 is: 7,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.44 : 10,775.84 = 5,422.39 : x
  2. Step 2: Convert to fraction form
    7,807.44/10,775.84 = 5,422.39/x
  3. Step 3: Cross multiply
    7,807.44x = 10,775.84 × 5,422.39
  4. Step 4: Simplify right side
    7,807.44x = 58,430,813.62
  5. Step 5: Solve for x
    x = 58,430,813.62/7,807.44
  6. Step 6: Final answer
    x = 7,483.99

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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.