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Finding the Fourth Proportional to 10,166.15, 14,028.64 and 5,689.87

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Solution

The fourth proportional to 10,166.15, 14,028.64 and 5,689.87 is: 7,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.15 : 14,028.64 = 5,689.87 : x
  2. Step 2: Convert to fraction form
    10,166.15/14,028.64 = 5,689.87/x
  3. Step 3: Cross multiply
    10,166.15x = 14,028.64 × 5,689.87
  4. Step 4: Simplify right side
    10,166.15x = 79,821,088.58
  5. Step 5: Solve for x
    x = 79,821,088.58/10,166.15
  6. Step 6: Final answer
    x = 7,851.65

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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.