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Finding the Fourth Proportional to 7,071.65, 10,607.47 and 2,141.28

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Solution

The fourth proportional to 7,071.65, 10,607.47 and 2,141.28 is: 3,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.65 : 10,607.47 = 2,141.28 : x
  2. Step 2: Convert to fraction form
    7,071.65/10,607.47 = 2,141.28/x
  3. Step 3: Cross multiply
    7,071.65x = 10,607.47 × 2,141.28
  4. Step 4: Simplify right side
    7,071.65x = 22,713,510.32
  5. Step 5: Solve for x
    x = 22,713,510.32/7,071.65
  6. Step 6: Final answer
    x = 3,211.91

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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.