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Finding the Fourth Proportional to 7,009.14, 10,514.64 and 2,849.30

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Solution

The fourth proportional to 7,009.14, 10,514.64 and 2,849.30 is: 4,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.14 : 10,514.64 = 2,849.30 : x
  2. Step 2: Convert to fraction form
    7,009.14/10,514.64 = 2,849.30/x
  3. Step 3: Cross multiply
    7,009.14x = 10,514.64 × 2,849.30
  4. Step 4: Simplify right side
    7,009.14x = 29,959,311.18
  5. Step 5: Solve for x
    x = 29,959,311.18/7,009.14
  6. Step 6: Final answer
    x = 4,274.32

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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.