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Finding the Fourth Proportional to 7,165.28, 10,689.73 and 6,777.76

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Solution

The fourth proportional to 7,165.28, 10,689.73 and 6,777.76 is: 10,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.28 : 10,689.73 = 6,777.76 : x
  2. Step 2: Convert to fraction form
    7,165.28/10,689.73 = 6,777.76/x
  3. Step 3: Cross multiply
    7,165.28x = 10,689.73 × 6,777.76
  4. Step 4: Simplify right side
    7,165.28x = 72,452,370.96
  5. Step 5: Solve for x
    x = 72,452,370.96/7,165.28
  6. Step 6: Final answer
    x = 10,111.59

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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.