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Finding the Fourth Proportional to 7,071.93, 10,606.55 and 2,689.83

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Solution

The fourth proportional to 7,071.93, 10,606.55 and 2,689.83 is: 4,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.93 : 10,606.55 = 2,689.83 : x
  2. Step 2: Convert to fraction form
    7,071.93/10,606.55 = 2,689.83/x
  3. Step 3: Cross multiply
    7,071.93x = 10,606.55 × 2,689.83
  4. Step 4: Simplify right side
    7,071.93x = 28,529,802.94
  5. Step 5: Solve for x
    x = 28,529,802.94/7,071.93
  6. Step 6: Final answer
    x = 4,034.23

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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.