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Finding the Fourth Proportional to 10,822.50, 14,935.05 and 6,106.68

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Solution

The fourth proportional to 10,822.50, 14,935.05 and 6,106.68 is: 8,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.50 : 14,935.05 = 6,106.68 : x
  2. Step 2: Convert to fraction form
    10,822.50/14,935.05 = 6,106.68/x
  3. Step 3: Cross multiply
    10,822.50x = 14,935.05 × 6,106.68
  4. Step 4: Simplify right side
    10,822.50x = 91,203,571.13
  5. Step 5: Solve for x
    x = 91,203,571.13/10,822.50
  6. Step 6: Final answer
    x = 8,427.22

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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.