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Finding the Fourth Proportional to 7,201.95, 10,788.49 and 5,723.60

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Solution

The fourth proportional to 7,201.95, 10,788.49 and 5,723.60 is: 8,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.95 : 10,788.49 = 5,723.60 : x
  2. Step 2: Convert to fraction form
    7,201.95/10,788.49 = 5,723.60/x
  3. Step 3: Cross multiply
    7,201.95x = 10,788.49 × 5,723.60
  4. Step 4: Simplify right side
    7,201.95x = 61,748,954.58
  5. Step 5: Solve for x
    x = 61,748,954.58/7,201.95
  6. Step 6: Final answer
    x = 8,573.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.