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Finding the Fourth Proportional to 7,084.53, 10,631.48 and 7,029.81

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Solution

The fourth proportional to 7,084.53, 10,631.48 and 7,029.81 is: 10,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.53 : 10,631.48 = 7,029.81 : x
  2. Step 2: Convert to fraction form
    7,084.53/10,631.48 = 7,029.81/x
  3. Step 3: Cross multiply
    7,084.53x = 10,631.48 × 7,029.81
  4. Step 4: Simplify right side
    7,084.53x = 74,737,249.27
  5. Step 5: Solve for x
    x = 74,737,249.27/7,084.53
  6. Step 6: Final answer
    x = 10,549.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.