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Finding the Fourth Proportional to 7,552.14, 10,421.66 and 4,195.16

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Solution

The fourth proportional to 7,552.14, 10,421.66 and 4,195.16 is: 5,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.14 : 10,421.66 = 4,195.16 : x
  2. Step 2: Convert to fraction form
    7,552.14/10,421.66 = 4,195.16/x
  3. Step 3: Cross multiply
    7,552.14x = 10,421.66 × 4,195.16
  4. Step 4: Simplify right side
    7,552.14x = 43,720,536.24
  5. Step 5: Solve for x
    x = 43,720,536.24/7,552.14
  6. Step 6: Final answer
    x = 5,789.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.