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Finding the Fourth Proportional to 10,757.36, 14,851.23 and 6,983.93

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Solution

The fourth proportional to 10,757.36, 14,851.23 and 6,983.93 is: 9,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.36 : 14,851.23 = 6,983.93 : x
  2. Step 2: Convert to fraction form
    10,757.36/14,851.23 = 6,983.93/x
  3. Step 3: Cross multiply
    10,757.36x = 14,851.23 × 6,983.93
  4. Step 4: Simplify right side
    10,757.36x = 103,719,950.73
  5. Step 5: Solve for x
    x = 103,719,950.73/10,757.36
  6. Step 6: Final answer
    x = 9,641.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.