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Finding the Fourth Proportional to 10,571.74, 14,588.14 and 6,092.48

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Solution

The fourth proportional to 10,571.74, 14,588.14 and 6,092.48 is: 8,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.74 : 14,588.14 = 6,092.48 : x
  2. Step 2: Convert to fraction form
    10,571.74/14,588.14 = 6,092.48/x
  3. Step 3: Cross multiply
    10,571.74x = 14,588.14 × 6,092.48
  4. Step 4: Simplify right side
    10,571.74x = 88,877,951.19
  5. Step 5: Solve for x
    x = 88,877,951.19/10,571.74
  6. Step 6: Final answer
    x = 8,407.13

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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.