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Finding the Fourth Proportional to 8,754.92, 13,130.75 and 2,831.93

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Solution

The fourth proportional to 8,754.92, 13,130.75 and 2,831.93 is: 4,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754.92 : 13,130.75 = 2,831.93 : x
  2. Step 2: Convert to fraction form
    8,754.92/13,130.75 = 2,831.93/x
  3. Step 3: Cross multiply
    8,754.92x = 13,130.75 × 2,831.93
  4. Step 4: Simplify right side
    8,754.92x = 37,185,285.03
  5. Step 5: Solve for x
    x = 37,185,285.03/8,754.92
  6. Step 6: Final answer
    x = 4,247.36

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Why These Related Problems?

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