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Finding the Fourth Proportional to 7,868.46, 10,850.22 and 5,875.86

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Solution

The fourth proportional to 7,868.46, 10,850.22 and 5,875.86 is: 8,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.46 : 10,850.22 = 5,875.86 : x
  2. Step 2: Convert to fraction form
    7,868.46/10,850.22 = 5,875.86/x
  3. Step 3: Cross multiply
    7,868.46x = 10,850.22 × 5,875.86
  4. Step 4: Simplify right side
    7,868.46x = 63,754,373.69
  5. Step 5: Solve for x
    x = 63,754,373.69/7,868.46
  6. Step 6: Final answer
    x = 8,102.52

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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.