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Finding the Fourth Proportional to 7,355.74, 10,151.31 and 4,212.40

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Solution

The fourth proportional to 7,355.74, 10,151.31 and 4,212.40 is: 5,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.74 : 10,151.31 = 4,212.40 : x
  2. Step 2: Convert to fraction form
    7,355.74/10,151.31 = 4,212.40/x
  3. Step 3: Cross multiply
    7,355.74x = 10,151.31 × 4,212.40
  4. Step 4: Simplify right side
    7,355.74x = 42,761,378.24
  5. Step 5: Solve for x
    x = 42,761,378.24/7,355.74
  6. Step 6: Final answer
    x = 5,813.33

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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.