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Finding the Fourth Proportional to 10,166.16, 15,249.24 and 3,590.76

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Solution

The fourth proportional to 10,166.16, 15,249.24 and 3,590.76 is: 5,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.16 : 15,249.24 = 3,590.76 : x
  2. Step 2: Convert to fraction form
    10,166.16/15,249.24 = 3,590.76/x
  3. Step 3: Cross multiply
    10,166.16x = 15,249.24 × 3,590.76
  4. Step 4: Simplify right side
    10,166.16x = 54,756,361.02
  5. Step 5: Solve for x
    x = 54,756,361.02/10,166.16
  6. Step 6: Final answer
    x = 5,386.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.