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Finding the Fourth Proportional to 10,602.33, 15,906.90 and 3,585.56

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Solution

The fourth proportional to 10,602.33, 15,906.90 and 3,585.56 is: 5,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.33 : 15,906.90 = 3,585.56 : x
  2. Step 2: Convert to fraction form
    10,602.33/15,906.90 = 3,585.56/x
  3. Step 3: Cross multiply
    10,602.33x = 15,906.90 × 3,585.56
  4. Step 4: Simplify right side
    10,602.33x = 57,035,064.83
  5. Step 5: Solve for x
    x = 57,035,064.83/10,602.33
  6. Step 6: Final answer
    x = 5,379.48

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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.