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Finding the Fourth Proportional to 7,185.16, 10,777.74 and 3,277.96

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Solution

The fourth proportional to 7,185.16, 10,777.74 and 3,277.96 is: 4,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.16 : 10,777.74 = 3,277.96 : x
  2. Step 2: Convert to fraction form
    7,185.16/10,777.74 = 3,277.96/x
  3. Step 3: Cross multiply
    7,185.16x = 10,777.74 × 3,277.96
  4. Step 4: Simplify right side
    7,185.16x = 35,329,000.61
  5. Step 5: Solve for x
    x = 35,329,000.61/7,185.16
  6. Step 6: Final answer
    x = 4,916.94

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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.