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Finding the Fourth Proportional to 10,573.94, 14,591.09 and 5,856.98

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Solution

The fourth proportional to 10,573.94, 14,591.09 and 5,856.98 is: 8,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.94 : 14,591.09 = 5,856.98 : x
  2. Step 2: Convert to fraction form
    10,573.94/14,591.09 = 5,856.98/x
  3. Step 3: Cross multiply
    10,573.94x = 14,591.09 × 5,856.98
  4. Step 4: Simplify right side
    10,573.94x = 85,459,722.31
  5. Step 5: Solve for x
    x = 85,459,722.31/10,573.94
  6. Step 6: Final answer
    x = 8,082.11

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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.