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Finding the Fourth Proportional to 7,410.06, 11,102.74 and 5,214.17

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Solution

The fourth proportional to 7,410.06, 11,102.74 and 5,214.17 is: 7,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.06 : 11,102.74 = 5,214.17 : x
  2. Step 2: Convert to fraction form
    7,410.06/11,102.74 = 5,214.17/x
  3. Step 3: Cross multiply
    7,410.06x = 11,102.74 × 5,214.17
  4. Step 4: Simplify right side
    7,410.06x = 57,891,597.06
  5. Step 5: Solve for x
    x = 57,891,597.06/7,410.06
  6. Step 6: Final answer
    x = 7,812.57

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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.