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Finding the Fourth Proportional to 7,775.29, 10,729.96 and 4,238.49

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Solution

The fourth proportional to 7,775.29, 10,729.96 and 4,238.49 is: 5,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.29 : 10,729.96 = 4,238.49 : x
  2. Step 2: Convert to fraction form
    7,775.29/10,729.96 = 4,238.49/x
  3. Step 3: Cross multiply
    7,775.29x = 10,729.96 × 4,238.49
  4. Step 4: Simplify right side
    7,775.29x = 45,478,828.16
  5. Step 5: Solve for x
    x = 45,478,828.16/7,775.29
  6. Step 6: Final answer
    x = 5,849.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.