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Finding the Fourth Proportional to 7,552.34, 10,421.78 and 4,194.95

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Solution

The fourth proportional to 7,552.34, 10,421.78 and 4,194.95 is: 5,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.34 : 10,421.78 = 4,194.95 : x
  2. Step 2: Convert to fraction form
    7,552.34/10,421.78 = 4,194.95/x
  3. Step 3: Cross multiply
    7,552.34x = 10,421.78 × 4,194.95
  4. Step 4: Simplify right side
    7,552.34x = 43,718,851.09
  5. Step 5: Solve for x
    x = 43,718,851.09/7,552.34
  6. Step 6: Final answer
    x = 5,788.79

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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.