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Finding the Fourth Proportional to 7,214.08, 10,885.12 and 6,944

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Solution

The fourth proportional to 7,214.08, 10,885.12 and 6,944 is: 10,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.08 : 10,885.12 = 6,944 : x
  2. Step 2: Convert to fraction form
    7,214.08/10,885.12 = 6,944/x
  3. Step 3: Cross multiply
    7,214.08x = 10,885.12 × 6,944
  4. Step 4: Simplify right side
    7,214.08x = 75,586,273.28
  5. Step 5: Solve for x
    x = 75,586,273.28/7,214.08
  6. Step 6: Final answer
    x = 10,477.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.