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Finding the Fourth Proportional to 7,852.12, 10,831.42 and 4,903

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Solution

The fourth proportional to 7,852.12, 10,831.42 and 4,903 is: 6,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.12 : 10,831.42 = 4,903 : x
  2. Step 2: Convert to fraction form
    7,852.12/10,831.42 = 4,903/x
  3. Step 3: Cross multiply
    7,852.12x = 10,831.42 × 4,903
  4. Step 4: Simplify right side
    7,852.12x = 53,106,452.26
  5. Step 5: Solve for x
    x = 53,106,452.26/7,852.12
  6. Step 6: Final answer
    x = 6,763.33

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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.