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Finding the Fourth Proportional to 7,145.48, 9,859.83 and 4,120.72

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Solution

The fourth proportional to 7,145.48, 9,859.83 and 4,120.72 is: 5,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.48 : 9,859.83 = 4,120.72 : x
  2. Step 2: Convert to fraction form
    7,145.48/9,859.83 = 4,120.72/x
  3. Step 3: Cross multiply
    7,145.48x = 9,859.83 × 4,120.72
  4. Step 4: Simplify right side
    7,145.48x = 40,629,574.03
  5. Step 5: Solve for x
    x = 40,629,574.03/7,145.48
  6. Step 6: Final answer
    x = 5,686.05

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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.