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Finding the Fourth Proportional to 7,102.62, 10,628.49 and 5,130.48

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Solution

The fourth proportional to 7,102.62, 10,628.49 and 5,130.48 is: 7,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.62 : 10,628.49 = 5,130.48 : x
  2. Step 2: Convert to fraction form
    7,102.62/10,628.49 = 5,130.48/x
  3. Step 3: Cross multiply
    7,102.62x = 10,628.49 × 5,130.48
  4. Step 4: Simplify right side
    7,102.62x = 54,529,255.38
  5. Step 5: Solve for x
    x = 54,529,255.38/7,102.62
  6. Step 6: Final answer
    x = 7,677.34

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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.