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Finding the Fourth Proportional to 7,550.74, 10,420.68 and 4,407.94

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Solution

The fourth proportional to 7,550.74, 10,420.68 and 4,407.94 is: 6,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.74 : 10,420.68 = 4,407.94 : x
  2. Step 2: Convert to fraction form
    7,550.74/10,420.68 = 4,407.94/x
  3. Step 3: Cross multiply
    7,550.74x = 10,420.68 × 4,407.94
  4. Step 4: Simplify right side
    7,550.74x = 45,933,732.20
  5. Step 5: Solve for x
    x = 45,933,732.20/7,550.74
  6. Step 6: Final answer
    x = 6,083.34

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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.