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Finding the Fourth Proportional to 7,404.66, 10,217.54 and 4,217.96

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Solution

The fourth proportional to 7,404.66, 10,217.54 and 4,217.96 is: 5,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.66 : 10,217.54 = 4,217.96 : x
  2. Step 2: Convert to fraction form
    7,404.66/10,217.54 = 4,217.96/x
  3. Step 3: Cross multiply
    7,404.66x = 10,217.54 × 4,217.96
  4. Step 4: Simplify right side
    7,404.66x = 43,097,211.11
  5. Step 5: Solve for x
    x = 43,097,211.11/7,404.66
  6. Step 6: Final answer
    x = 5,820.28

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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.