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Finding the Fourth Proportional to 11,695.59, 17,548.25 and 6,147.60

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Solution

The fourth proportional to 11,695.59, 17,548.25 and 6,147.60 is: 9,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.59 : 17,548.25 = 6,147.60 : x
  2. Step 2: Convert to fraction form
    11,695.59/17,548.25 = 6,147.60/x
  3. Step 3: Cross multiply
    11,695.59x = 17,548.25 × 6,147.60
  4. Step 4: Simplify right side
    11,695.59x = 107,879,525.16
  5. Step 5: Solve for x
    x = 107,879,525.16/11,695.59
  6. Step 6: Final answer
    x = 9,223.95

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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.