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Finding the Fourth Proportional to 7,775.16, 10,729.72 and 4,238.38

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Solution

The fourth proportional to 7,775.16, 10,729.72 and 4,238.38 is: 5,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.16 : 10,729.72 = 4,238.38 : x
  2. Step 2: Convert to fraction form
    7,775.16/10,729.72 = 4,238.38/x
  3. Step 3: Cross multiply
    7,775.16x = 10,729.72 × 4,238.38
  4. Step 4: Simplify right side
    7,775.16x = 45,476,565.17
  5. Step 5: Solve for x
    x = 45,476,565.17/7,775.16
  6. Step 6: Final answer
    x = 5,848.96

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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.