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Finding the Fourth Proportional to 10,438.74, 15,659.01 and 2,647.55

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Solution

The fourth proportional to 10,438.74, 15,659.01 and 2,647.55 is: 3,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.74 : 15,659.01 = 2,647.55 : x
  2. Step 2: Convert to fraction form
    10,438.74/15,659.01 = 2,647.55/x
  3. Step 3: Cross multiply
    10,438.74x = 15,659.01 × 2,647.55
  4. Step 4: Simplify right side
    10,438.74x = 41,458,051.07
  5. Step 5: Solve for x
    x = 41,458,051.07/10,438.74
  6. Step 6: Final answer
    x = 3,971.56

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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.