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Finding the Fourth Proportional to 11,695.86, 17,534.07 and 4,775.22

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Solution

The fourth proportional to 11,695.86, 17,534.07 and 4,775.22 is: 7,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.86 : 17,534.07 = 4,775.22 : x
  2. Step 2: Convert to fraction form
    11,695.86/17,534.07 = 4,775.22/x
  3. Step 3: Cross multiply
    11,695.86x = 17,534.07 × 4,775.22
  4. Step 4: Simplify right side
    11,695.86x = 83,729,041.75
  5. Step 5: Solve for x
    x = 83,729,041.75/11,695.86
  6. Step 6: Final answer
    x = 7,158.86

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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.