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Finding the Fourth Proportional to 7,412.60, 11,118.07 and 1,865.94

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Solution

The fourth proportional to 7,412.60, 11,118.07 and 1,865.94 is: 2,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.60 : 11,118.07 = 1,865.94 : x
  2. Step 2: Convert to fraction form
    7,412.60/11,118.07 = 1,865.94/x
  3. Step 3: Cross multiply
    7,412.60x = 11,118.07 × 1,865.94
  4. Step 4: Simplify right side
    7,412.60x = 20,745,591.28
  5. Step 5: Solve for x
    x = 20,745,591.28/7,412.60
  6. Step 6: Final answer
    x = 2,798.69

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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.