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Finding the Fourth Proportional to 7,831.80, 10,808.28 and 4,295.34

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Solution

The fourth proportional to 7,831.80, 10,808.28 and 4,295.34 is: 5,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.80 : 10,808.28 = 4,295.34 : x
  2. Step 2: Convert to fraction form
    7,831.80/10,808.28 = 4,295.34/x
  3. Step 3: Cross multiply
    7,831.80x = 10,808.28 × 4,295.34
  4. Step 4: Simplify right side
    7,831.80x = 46,425,237.42
  5. Step 5: Solve for x
    x = 46,425,237.42/7,831.80
  6. Step 6: Final answer
    x = 5,927.79

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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.