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Finding the Fourth Proportional to 10,847.44, 14,970.78 and 6,131.68

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Solution

The fourth proportional to 10,847.44, 14,970.78 and 6,131.68 is: 8,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.44 : 14,970.78 = 6,131.68 : x
  2. Step 2: Convert to fraction form
    10,847.44/14,970.78 = 6,131.68/x
  3. Step 3: Cross multiply
    10,847.44x = 14,970.78 × 6,131.68
  4. Step 4: Simplify right side
    10,847.44x = 91,796,032.31
  5. Step 5: Solve for x
    x = 91,796,032.31/10,847.44
  6. Step 6: Final answer
    x = 8,462.46

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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.