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Finding the Fourth Proportional to 7,764.53, 11,646.71 and 2,834.13

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Solution

The fourth proportional to 7,764.53, 11,646.71 and 2,834.13 is: 4,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.53 : 11,646.71 = 2,834.13 : x
  2. Step 2: Convert to fraction form
    7,764.53/11,646.71 = 2,834.13/x
  3. Step 3: Cross multiply
    7,764.53x = 11,646.71 × 2,834.13
  4. Step 4: Simplify right side
    7,764.53x = 33,008,302.24
  5. Step 5: Solve for x
    x = 33,008,302.24/7,764.53
  6. Step 6: Final answer
    x = 4,251.16

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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.