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Finding the Fourth Proportional to 7,643.80, 11,458.14 and 3,687.76

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Solution

The fourth proportional to 7,643.80, 11,458.14 and 3,687.76 is: 5,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.80 : 11,458.14 = 3,687.76 : x
  2. Step 2: Convert to fraction form
    7,643.80/11,458.14 = 3,687.76/x
  3. Step 3: Cross multiply
    7,643.80x = 11,458.14 × 3,687.76
  4. Step 4: Simplify right side
    7,643.80x = 42,254,870.37
  5. Step 5: Solve for x
    x = 42,254,870.37/7,643.80
  6. Step 6: Final answer
    x = 5,527.99

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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.