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Finding the Fourth Proportional to 10,309.78, 15,464.67 and 3,735.97

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Solution

The fourth proportional to 10,309.78, 15,464.67 and 3,735.97 is: 5,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.78 : 15,464.67 = 3,735.97 : x
  2. Step 2: Convert to fraction form
    10,309.78/15,464.67 = 3,735.97/x
  3. Step 3: Cross multiply
    10,309.78x = 15,464.67 × 3,735.97
  4. Step 4: Simplify right side
    10,309.78x = 57,775,598.51
  5. Step 5: Solve for x
    x = 57,775,598.51/10,309.78
  6. Step 6: Final answer
    x = 5,603.96

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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.