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Finding the Fourth Proportional to 7,764.60, 11,646.90 and 2,834.40

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Solution

The fourth proportional to 7,764.60, 11,646.90 and 2,834.40 is: 4,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.60 : 11,646.90 = 2,834.40 : x
  2. Step 2: Convert to fraction form
    7,764.60/11,646.90 = 2,834.40/x
  3. Step 3: Cross multiply
    7,764.60x = 11,646.90 × 2,834.40
  4. Step 4: Simplify right side
    7,764.60x = 33,011,973.36
  5. Step 5: Solve for x
    x = 33,011,973.36/7,764.60
  6. Step 6: Final answer
    x = 4,251.60

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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.