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Finding the Fourth Proportional to 7,071.72, 10,602.10 and 4,731.63

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Solution

The fourth proportional to 7,071.72, 10,602.10 and 4,731.63 is: 7,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.72 : 10,602.10 = 4,731.63 : x
  2. Step 2: Convert to fraction form
    7,071.72/10,602.10 = 4,731.63/x
  3. Step 3: Cross multiply
    7,071.72x = 10,602.10 × 4,731.63
  4. Step 4: Simplify right side
    7,071.72x = 50,165,214.42
  5. Step 5: Solve for x
    x = 50,165,214.42/7,071.72
  6. Step 6: Final answer
    x = 7,093.78

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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.