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Finding the Fourth Proportional to 7,638.53, 10,537.40 and 5,121.18

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Solution

The fourth proportional to 7,638.53, 10,537.40 and 5,121.18 is: 7,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.53 : 10,537.40 = 5,121.18 : x
  2. Step 2: Convert to fraction form
    7,638.53/10,537.40 = 5,121.18/x
  3. Step 3: Cross multiply
    7,638.53x = 10,537.40 × 5,121.18
  4. Step 4: Simplify right side
    7,638.53x = 53,963,896.53
  5. Step 5: Solve for x
    x = 53,963,896.53/7,638.53
  6. Step 6: Final answer
    x = 7,064.70

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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.