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Finding the Fourth Proportional to 10,450.69, 15,681.42 and 6,943.12

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Solution

The fourth proportional to 10,450.69, 15,681.42 and 6,943.12 is: 10,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.69 : 15,681.42 = 6,943.12 : x
  2. Step 2: Convert to fraction form
    10,450.69/15,681.42 = 6,943.12/x
  3. Step 3: Cross multiply
    10,450.69x = 15,681.42 × 6,943.12
  4. Step 4: Simplify right side
    10,450.69x = 108,877,941.63
  5. Step 5: Solve for x
    x = 108,877,941.63/10,450.69
  6. Step 6: Final answer
    x = 10,418.26

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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.