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Finding the Fourth Proportional to 11,346.24, 17,012.72 and 7,602.24

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Solution

The fourth proportional to 11,346.24, 17,012.72 and 7,602.24 is: 11,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.24 : 17,012.72 = 7,602.24 : x
  2. Step 2: Convert to fraction form
    11,346.24/17,012.72 = 7,602.24/x
  3. Step 3: Cross multiply
    11,346.24x = 17,012.72 × 7,602.24
  4. Step 4: Simplify right side
    11,346.24x = 129,334,780.49
  5. Step 5: Solve for x
    x = 129,334,780.49/11,346.24
  6. Step 6: Final answer
    x = 11,398.91

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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.