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Finding the Fourth Proportional to 7,071.52, 10,612.17 and 2,454.52

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Solution

The fourth proportional to 7,071.52, 10,612.17 and 2,454.52 is: 3,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.52 : 10,612.17 = 2,454.52 : x
  2. Step 2: Convert to fraction form
    7,071.52/10,612.17 = 2,454.52/x
  3. Step 3: Cross multiply
    7,071.52x = 10,612.17 × 2,454.52
  4. Step 4: Simplify right side
    7,071.52x = 26,047,783.51
  5. Step 5: Solve for x
    x = 26,047,783.51/7,071.52
  6. Step 6: Final answer
    x = 3,683.48

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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.