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Finding the Fourth Proportional to 10,573.86, 14,591.61 and 5,858.04

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Solution

The fourth proportional to 10,573.86, 14,591.61 and 5,858.04 is: 8,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.86 : 14,591.61 = 5,858.04 : x
  2. Step 2: Convert to fraction form
    10,573.86/14,591.61 = 5,858.04/x
  3. Step 3: Cross multiply
    10,573.86x = 14,591.61 × 5,858.04
  4. Step 4: Simplify right side
    10,573.86x = 85,478,235.04
  5. Step 5: Solve for x
    x = 85,478,235.04/10,573.86
  6. Step 6: Final answer
    x = 8,083.92

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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.