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Finding the Fourth Proportional to 10,689.96, 14,751.90 and 5,974.68

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Solution

The fourth proportional to 10,689.96, 14,751.90 and 5,974.68 is: 8,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.96 : 14,751.90 = 5,974.68 : x
  2. Step 2: Convert to fraction form
    10,689.96/14,751.90 = 5,974.68/x
  3. Step 3: Cross multiply
    10,689.96x = 14,751.90 × 5,974.68
  4. Step 4: Simplify right side
    10,689.96x = 88,137,881.89
  5. Step 5: Solve for x
    x = 88,137,881.89/10,689.96
  6. Step 6: Final answer
    x = 8,244.92

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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.