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Finding the Fourth Proportional to 8,435.42, 11,642.31 and 4,900.69

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Solution

The fourth proportional to 8,435.42, 11,642.31 and 4,900.69 is: 6,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.42 : 11,642.31 = 4,900.69 : x
  2. Step 2: Convert to fraction form
    8,435.42/11,642.31 = 4,900.69/x
  3. Step 3: Cross multiply
    8,435.42x = 11,642.31 × 4,900.69
  4. Step 4: Simplify right side
    8,435.42x = 57,055,287.48
  5. Step 5: Solve for x
    x = 57,055,287.48/8,435.42
  6. Step 6: Final answer
    x = 6,763.77

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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.