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Finding the Fourth Proportional to 7,121.40, 10,682.10 and 5,153.10

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Solution

The fourth proportional to 7,121.40, 10,682.10 and 5,153.10 is: 7,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.40 : 10,682.10 = 5,153.10 : x
  2. Step 2: Convert to fraction form
    7,121.40/10,682.10 = 5,153.10/x
  3. Step 3: Cross multiply
    7,121.40x = 10,682.10 × 5,153.10
  4. Step 4: Simplify right side
    7,121.40x = 55,045,929.51
  5. Step 5: Solve for x
    x = 55,045,929.51/7,121.40
  6. Step 6: Final answer
    x = 7,729.65

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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.