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Finding the Fourth Proportional to 7,884.12, 10,801.20 and 7,588.68

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Solution

The fourth proportional to 7,884.12, 10,801.20 and 7,588.68 is: 10,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.12 : 10,801.20 = 7,588.68 : x
  2. Step 2: Convert to fraction form
    7,884.12/10,801.20 = 7,588.68/x
  3. Step 3: Cross multiply
    7,884.12x = 10,801.20 × 7,588.68
  4. Step 4: Simplify right side
    7,884.12x = 81,966,850.42
  5. Step 5: Solve for x
    x = 81,966,850.42/7,884.12
  6. Step 6: Final answer
    x = 10,396.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.