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Finding the Fourth Proportional to 8,142.25, 11,232.51 and 4,783.99

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Solution

The fourth proportional to 8,142.25, 11,232.51 and 4,783.99 is: 6,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.25 : 11,232.51 = 4,783.99 : x
  2. Step 2: Convert to fraction form
    8,142.25/11,232.51 = 4,783.99/x
  3. Step 3: Cross multiply
    8,142.25x = 11,232.51 × 4,783.99
  4. Step 4: Simplify right side
    8,142.25x = 53,736,215.51
  5. Step 5: Solve for x
    x = 53,736,215.51/8,142.25
  6. Step 6: Final answer
    x = 6,599.68

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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.