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Finding the Fourth Proportional to 7,673.37, 11,510.07 and 5,202.06

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Solution

The fourth proportional to 7,673.37, 11,510.07 and 5,202.06 is: 7,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.37 : 11,510.07 = 5,202.06 : x
  2. Step 2: Convert to fraction form
    7,673.37/11,510.07 = 5,202.06/x
  3. Step 3: Cross multiply
    7,673.37x = 11,510.07 × 5,202.06
  4. Step 4: Simplify right side
    7,673.37x = 59,876,012.07
  5. Step 5: Solve for x
    x = 59,876,012.07/7,673.37
  6. Step 6: Final answer
    x = 7,803.10

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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.