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Finding the Fourth Proportional to 7,145.72, 9,860.64 and 4,162.40

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Solution

The fourth proportional to 7,145.72, 9,860.64 and 4,162.40 is: 5,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.72 : 9,860.64 = 4,162.40 : x
  2. Step 2: Convert to fraction form
    7,145.72/9,860.64 = 4,162.40/x
  3. Step 3: Cross multiply
    7,145.72x = 9,860.64 × 4,162.40
  4. Step 4: Simplify right side
    7,145.72x = 41,043,927.94
  5. Step 5: Solve for x
    x = 41,043,927.94/7,145.72
  6. Step 6: Final answer
    x = 5,743.85

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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.