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Finding the Fourth Proportional to 10,166.84, 14,029.60 and 5,689.83

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Solution

The fourth proportional to 10,166.84, 14,029.60 and 5,689.83 is: 7,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.84 : 14,029.60 = 5,689.83 : x
  2. Step 2: Convert to fraction form
    10,166.84/14,029.60 = 5,689.83/x
  3. Step 3: Cross multiply
    10,166.84x = 14,029.60 × 5,689.83
  4. Step 4: Simplify right side
    10,166.84x = 79,826,038.97
  5. Step 5: Solve for x
    x = 79,826,038.97/10,166.84
  6. Step 6: Final answer
    x = 7,851.61

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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.