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Finding the Fourth Proportional to 7,695.60, 11,534.05 and 3,529.82

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Solution

The fourth proportional to 7,695.60, 11,534.05 and 3,529.82 is: 5,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.60 : 11,534.05 = 3,529.82 : x
  2. Step 2: Convert to fraction form
    7,695.60/11,534.05 = 3,529.82/x
  3. Step 3: Cross multiply
    7,695.60x = 11,534.05 × 3,529.82
  4. Step 4: Simplify right side
    7,695.60x = 40,713,120.37
  5. Step 5: Solve for x
    x = 40,713,120.37/7,695.60
  6. Step 6: Final answer
    x = 5,290.44

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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.