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Finding the Fourth Proportional to 7,830.68, 11,743.08 and 2,564.44

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Solution

The fourth proportional to 7,830.68, 11,743.08 and 2,564.44 is: 3,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.68 : 11,743.08 = 2,564.44 : x
  2. Step 2: Convert to fraction form
    7,830.68/11,743.08 = 2,564.44/x
  3. Step 3: Cross multiply
    7,830.68x = 11,743.08 × 2,564.44
  4. Step 4: Simplify right side
    7,830.68x = 30,114,424.08
  5. Step 5: Solve for x
    x = 30,114,424.08/7,830.68
  6. Step 6: Final answer
    x = 3,845.70

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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.