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Finding the Fourth Proportional to 10,166.16, 14,028.12 and 5,690.16

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Solution

The fourth proportional to 10,166.16, 14,028.12 and 5,690.16 is: 7,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.16 : 14,028.12 = 5,690.16 : x
  2. Step 2: Convert to fraction form
    10,166.16/14,028.12 = 5,690.16/x
  3. Step 3: Cross multiply
    10,166.16x = 14,028.12 × 5,690.16
  4. Step 4: Simplify right side
    10,166.16x = 79,822,247.30
  5. Step 5: Solve for x
    x = 79,822,247.30/10,166.16
  6. Step 6: Final answer
    x = 7,851.76

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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.