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Finding the Fourth Proportional to 7,166.18, 10,753.41 and 3,005.81

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Solution

The fourth proportional to 7,166.18, 10,753.41 and 3,005.81 is: 4,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.18 : 10,753.41 = 3,005.81 : x
  2. Step 2: Convert to fraction form
    7,166.18/10,753.41 = 3,005.81/x
  3. Step 3: Cross multiply
    7,166.18x = 10,753.41 × 3,005.81
  4. Step 4: Simplify right side
    7,166.18x = 32,322,707.31
  5. Step 5: Solve for x
    x = 32,322,707.31/7,166.18
  6. Step 6: Final answer
    x = 4,510.45

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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.