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Finding the Fourth Proportional to 7,071.13, 10,606.70 and 2,454.13

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Solution

The fourth proportional to 7,071.13, 10,606.70 and 2,454.13 is: 3,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.13 : 10,606.70 = 2,454.13 : x
  2. Step 2: Convert to fraction form
    7,071.13/10,606.70 = 2,454.13/x
  3. Step 3: Cross multiply
    7,071.13x = 10,606.70 × 2,454.13
  4. Step 4: Simplify right side
    7,071.13x = 26,030,220.67
  5. Step 5: Solve for x
    x = 26,030,220.67/7,071.13
  6. Step 6: Final answer
    x = 3,681.20

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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.