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Finding the Fourth Proportional to 7,552.33, 10,421.77 and 4,194.95

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Solution

The fourth proportional to 7,552.33, 10,421.77 and 4,194.95 is: 5,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.33 : 10,421.77 = 4,194.95 : x
  2. Step 2: Convert to fraction form
    7,552.33/10,421.77 = 4,194.95/x
  3. Step 3: Cross multiply
    7,552.33x = 10,421.77 × 4,194.95
  4. Step 4: Simplify right side
    7,552.33x = 43,718,804.06
  5. Step 5: Solve for x
    x = 43,718,804.06/7,552.33
  6. Step 6: Final answer
    x = 5,788.78

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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.