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Finding the Fourth Proportional to 7,775.31, 10,729.58 and 4,238.40

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Solution

The fourth proportional to 7,775.31, 10,729.58 and 4,238.40 is: 5,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.31 : 10,729.58 = 4,238.40 : x
  2. Step 2: Convert to fraction form
    7,775.31/10,729.58 = 4,238.40/x
  3. Step 3: Cross multiply
    7,775.31x = 10,729.58 × 4,238.40
  4. Step 4: Simplify right side
    7,775.31x = 45,476,230.68
  5. Step 5: Solve for x
    x = 45,476,230.68/7,775.31
  6. Step 6: Final answer
    x = 5,848.80

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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.