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Finding the Fourth Proportional to 8,142.93, 11,237.14 and 4,606.14

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Solution

The fourth proportional to 8,142.93, 11,237.14 and 4,606.14 is: 6,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.93 : 11,237.14 = 4,606.14 : x
  2. Step 2: Convert to fraction form
    8,142.93/11,237.14 = 4,606.14/x
  3. Step 3: Cross multiply
    8,142.93x = 11,237.14 × 4,606.14
  4. Step 4: Simplify right side
    8,142.93x = 51,759,833.66
  5. Step 5: Solve for x
    x = 51,759,833.66/8,142.93
  6. Step 6: Final answer
    x = 6,356.41

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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.