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Finding the Fourth Proportional to 7,405.66, 10,218.92 and 4,218.96

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Solution

The fourth proportional to 7,405.66, 10,218.92 and 4,218.96 is: 5,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.66 : 10,218.92 = 4,218.96 : x
  2. Step 2: Convert to fraction form
    7,405.66/10,218.92 = 4,218.96/x
  3. Step 3: Cross multiply
    7,405.66x = 10,218.92 × 4,218.96
  4. Step 4: Simplify right side
    7,405.66x = 43,113,214.72
  5. Step 5: Solve for x
    x = 43,113,214.72/7,405.66
  6. Step 6: Final answer
    x = 5,821.66

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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.