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Finding the Fourth Proportional to 7,404.28, 10,213.14 and 4,417.82

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Solution

The fourth proportional to 7,404.28, 10,213.14 and 4,417.82 is: 6,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.28 : 10,213.14 = 4,417.82 : x
  2. Step 2: Convert to fraction form
    7,404.28/10,213.14 = 4,417.82/x
  3. Step 3: Cross multiply
    7,404.28x = 10,213.14 × 4,417.82
  4. Step 4: Simplify right side
    7,404.28x = 45,119,814.15
  5. Step 5: Solve for x
    x = 45,119,814.15/7,404.28
  6. Step 6: Final answer
    x = 6,093.75

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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.