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Finding the Fourth Proportional to 11,347.12, 17,012.48 and 7,640.16

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Solution

The fourth proportional to 11,347.12, 17,012.48 and 7,640.16 is: 11,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.12 : 17,012.48 = 7,640.16 : x
  2. Step 2: Convert to fraction form
    11,347.12/17,012.48 = 7,640.16/x
  3. Step 3: Cross multiply
    11,347.12x = 17,012.48 × 7,640.16
  4. Step 4: Simplify right side
    11,347.12x = 129,978,069.20
  5. Step 5: Solve for x
    x = 129,978,069.20/11,347.12
  6. Step 6: Final answer
    x = 11,454.72

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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.