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Finding the Fourth Proportional to 7,673.65, 11,510.70 and 2,993.47

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Solution

The fourth proportional to 7,673.65, 11,510.70 and 2,993.47 is: 4,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.65 : 11,510.70 = 2,993.47 : x
  2. Step 2: Convert to fraction form
    7,673.65/11,510.70 = 2,993.47/x
  3. Step 3: Cross multiply
    7,673.65x = 11,510.70 × 2,993.47
  4. Step 4: Simplify right side
    7,673.65x = 34,456,877.58
  5. Step 5: Solve for x
    x = 34,456,877.58/7,673.65
  6. Step 6: Final answer
    x = 4,490.29

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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.