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Finding the Fourth Proportional to 7,096.44, 10,646.55 and 5,849.31

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Solution

The fourth proportional to 7,096.44, 10,646.55 and 5,849.31 is: 8,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.44 : 10,646.55 = 5,849.31 : x
  2. Step 2: Convert to fraction form
    7,096.44/10,646.55 = 5,849.31/x
  3. Step 3: Cross multiply
    7,096.44x = 10,646.55 × 5,849.31
  4. Step 4: Simplify right side
    7,096.44x = 62,274,971.38
  5. Step 5: Solve for x
    x = 62,274,971.38/7,096.44
  6. Step 6: Final answer
    x = 8,775.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.