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Finding the Fourth Proportional to 7,043.28, 10,564.29 and 2,114.02

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Solution

The fourth proportional to 7,043.28, 10,564.29 and 2,114.02 is: 3,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.28 : 10,564.29 = 2,114.02 : x
  2. Step 2: Convert to fraction form
    7,043.28/10,564.29 = 2,114.02/x
  3. Step 3: Cross multiply
    7,043.28x = 10,564.29 × 2,114.02
  4. Step 4: Simplify right side
    7,043.28x = 22,333,120.35
  5. Step 5: Solve for x
    x = 22,333,120.35/7,043.28
  6. Step 6: Final answer
    x = 3,170.84

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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.