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Finding the Fourth Proportional to 10,646.65, 15,969.43 and 4,072.33

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Solution

The fourth proportional to 10,646.65, 15,969.43 and 4,072.33 is: 6,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.65 : 15,969.43 = 4,072.33 : x
  2. Step 2: Convert to fraction form
    10,646.65/15,969.43 = 4,072.33/x
  3. Step 3: Cross multiply
    10,646.65x = 15,969.43 × 4,072.33
  4. Step 4: Simplify right side
    10,646.65x = 65,032,788.87
  5. Step 5: Solve for x
    x = 65,032,788.87/10,646.65
  6. Step 6: Final answer
    x = 6,108.29

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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.