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Finding the Fourth Proportional to 8,438.80, 11,643.74 and 4,900.18

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Solution

The fourth proportional to 8,438.80, 11,643.74 and 4,900.18 is: 6,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.80 : 11,643.74 = 4,900.18 : x
  2. Step 2: Convert to fraction form
    8,438.80/11,643.74 = 4,900.18/x
  3. Step 3: Cross multiply
    8,438.80x = 11,643.74 × 4,900.18
  4. Step 4: Simplify right side
    8,438.80x = 57,056,421.87
  5. Step 5: Solve for x
    x = 57,056,421.87/8,438.80
  6. Step 6: Final answer
    x = 6,761.20

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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.