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Finding the Fourth Proportional to 7,102.72, 10,656.12 and 2,172.76

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Solution

The fourth proportional to 7,102.72, 10,656.12 and 2,172.76 is: 3,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.72 : 10,656.12 = 2,172.76 : x
  2. Step 2: Convert to fraction form
    7,102.72/10,656.12 = 2,172.76/x
  3. Step 3: Cross multiply
    7,102.72x = 10,656.12 × 2,172.76
  4. Step 4: Simplify right side
    7,102.72x = 23,153,191.29
  5. Step 5: Solve for x
    x = 23,153,191.29/7,102.72
  6. Step 6: Final answer
    x = 3,259.76

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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.