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Finding the Fourth Proportional to 10,606.02, 15,902.49 and 3,585.37

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Solution

The fourth proportional to 10,606.02, 15,902.49 and 3,585.37 is: 5,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.02 : 15,902.49 = 3,585.37 : x
  2. Step 2: Convert to fraction form
    10,606.02/15,902.49 = 3,585.37/x
  3. Step 3: Cross multiply
    10,606.02x = 15,902.49 × 3,585.37
  4. Step 4: Simplify right side
    10,606.02x = 57,016,303.99
  5. Step 5: Solve for x
    x = 57,016,303.99/10,606.02
  6. Step 6: Final answer
    x = 5,375.84

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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.