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Finding the Fourth Proportional to 11,652.24, 17,478.36 and 7,034.16

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Solution

The fourth proportional to 11,652.24, 17,478.36 and 7,034.16 is: 10,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.24 : 17,478.36 = 7,034.16 : x
  2. Step 2: Convert to fraction form
    11,652.24/17,478.36 = 7,034.16/x
  3. Step 3: Cross multiply
    11,652.24x = 17,478.36 × 7,034.16
  4. Step 4: Simplify right side
    11,652.24x = 122,945,580.78
  5. Step 5: Solve for x
    x = 122,945,580.78/11,652.24
  6. Step 6: Final answer
    x = 10,551.24

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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.