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Finding the Fourth Proportional to 6,715.92, 10,028.63 and 5,485.76

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Solution

The fourth proportional to 6,715.92, 10,028.63 and 5,485.76 is: 8,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.92 : 10,028.63 = 5,485.76 : x
  2. Step 2: Convert to fraction form
    6,715.92/10,028.63 = 5,485.76/x
  3. Step 3: Cross multiply
    6,715.92x = 10,028.63 × 5,485.76
  4. Step 4: Simplify right side
    6,715.92x = 55,014,657.31
  5. Step 5: Solve for x
    x = 55,014,657.31/6,715.92
  6. Step 6: Final answer
    x = 8,191.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.