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Finding the Fourth Proportional to 10,571.02, 14,588.20 and 6,094

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Solution

The fourth proportional to 10,571.02, 14,588.20 and 6,094 is: 8,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.02 : 14,588.20 = 6,094 : x
  2. Step 2: Convert to fraction form
    10,571.02/14,588.20 = 6,094/x
  3. Step 3: Cross multiply
    10,571.02x = 14,588.20 × 6,094
  4. Step 4: Simplify right side
    10,571.02x = 88,900,490.80
  5. Step 5: Solve for x
    x = 88,900,490.80/10,571.02
  6. Step 6: Final answer
    x = 8,409.83

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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.