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Finding the Fourth Proportional to 7,700.63, 11,550.92 and 1,857.24

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Solution

The fourth proportional to 7,700.63, 11,550.92 and 1,857.24 is: 2,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.63 : 11,550.92 = 1,857.24 : x
  2. Step 2: Convert to fraction form
    7,700.63/11,550.92 = 1,857.24/x
  3. Step 3: Cross multiply
    7,700.63x = 11,550.92 × 1,857.24
  4. Step 4: Simplify right side
    7,700.63x = 21,452,831.82
  5. Step 5: Solve for x
    x = 21,452,831.82/7,700.63
  6. Step 6: Final answer
    x = 2,785.85

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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.