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Finding the Fourth Proportional to 10,573.66, 14,591.64 and 5,857.84

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Solution

The fourth proportional to 10,573.66, 14,591.64 and 5,857.84 is: 8,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.66 : 14,591.64 = 5,857.84 : x
  2. Step 2: Convert to fraction form
    10,573.66/14,591.64 = 5,857.84/x
  3. Step 3: Cross multiply
    10,573.66x = 14,591.64 × 5,857.84
  4. Step 4: Simplify right side
    10,573.66x = 85,475,492.46
  5. Step 5: Solve for x
    x = 85,475,492.46/10,573.66
  6. Step 6: Final answer
    x = 8,083.81

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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.