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Finding the Fourth Proportional to 7,102.72, 9,802.68 and 5,119.84

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Solution

The fourth proportional to 7,102.72, 9,802.68 and 5,119.84 is: 7,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.72 : 9,802.68 = 5,119.84 : x
  2. Step 2: Convert to fraction form
    7,102.72/9,802.68 = 5,119.84/x
  3. Step 3: Cross multiply
    7,102.72x = 9,802.68 × 5,119.84
  4. Step 4: Simplify right side
    7,102.72x = 50,188,153.17
  5. Step 5: Solve for x
    x = 50,188,153.17/7,102.72
  6. Step 6: Final answer
    x = 7,066.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.