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Finding the Fourth Proportional to 7,406.16, 11,114.04 and 3,514.96

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Solution

The fourth proportional to 7,406.16, 11,114.04 and 3,514.96 is: 5,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.16 : 11,114.04 = 3,514.96 : x
  2. Step 2: Convert to fraction form
    7,406.16/11,114.04 = 3,514.96/x
  3. Step 3: Cross multiply
    7,406.16x = 11,114.04 × 3,514.96
  4. Step 4: Simplify right side
    7,406.16x = 39,065,406.04
  5. Step 5: Solve for x
    x = 39,065,406.04/7,406.16
  6. Step 6: Final answer
    x = 5,274.72

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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.