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Finding the Fourth Proportional to 10,250.94, 14,143.86 and 5,773.80

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Solution

The fourth proportional to 10,250.94, 14,143.86 and 5,773.80 is: 7,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.94 : 14,143.86 = 5,773.80 : x
  2. Step 2: Convert to fraction form
    10,250.94/14,143.86 = 5,773.80/x
  3. Step 3: Cross multiply
    10,250.94x = 14,143.86 × 5,773.80
  4. Step 4: Simplify right side
    10,250.94x = 81,663,818.87
  5. Step 5: Solve for x
    x = 81,663,818.87/10,250.94
  6. Step 6: Final answer
    x = 7,966.47

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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.