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Finding the Fourth Proportional to 7,070.72, 10,606.08 and 3,171.20

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Solution

The fourth proportional to 7,070.72, 10,606.08 and 3,171.20 is: 4,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.72 : 10,606.08 = 3,171.20 : x
  2. Step 2: Convert to fraction form
    7,070.72/10,606.08 = 3,171.20/x
  3. Step 3: Cross multiply
    7,070.72x = 10,606.08 × 3,171.20
  4. Step 4: Simplify right side
    7,070.72x = 33,634,000.90
  5. Step 5: Solve for x
    x = 33,634,000.90/7,070.72
  6. Step 6: Final answer
    x = 4,756.80

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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.