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Finding the Fourth Proportional to 7,643.51, 11,463.69 and 2,095.52

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Solution

The fourth proportional to 7,643.51, 11,463.69 and 2,095.52 is: 3,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.51 : 11,463.69 = 2,095.52 : x
  2. Step 2: Convert to fraction form
    7,643.51/11,463.69 = 2,095.52/x
  3. Step 3: Cross multiply
    7,643.51x = 11,463.69 × 2,095.52
  4. Step 4: Simplify right side
    7,643.51x = 24,022,391.67
  5. Step 5: Solve for x
    x = 24,022,391.67/7,643.51
  6. Step 6: Final answer
    x = 3,142.85

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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.