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Finding the Fourth Proportional to 7,673.38, 11,510.06 and 5,202.07

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Solution

The fourth proportional to 7,673.38, 11,510.06 and 5,202.07 is: 7,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.38 : 11,510.06 = 5,202.07 : x
  2. Step 2: Convert to fraction form
    7,673.38/11,510.06 = 5,202.07/x
  3. Step 3: Cross multiply
    7,673.38x = 11,510.06 × 5,202.07
  4. Step 4: Simplify right side
    7,673.38x = 59,876,083.04
  5. Step 5: Solve for x
    x = 59,876,083.04/7,673.38
  6. Step 6: Final answer
    x = 7,803.09

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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.