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Finding the Fourth Proportional to 10,572.63, 14,589.05 and 5,855.73

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Solution

The fourth proportional to 10,572.63, 14,589.05 and 5,855.73 is: 8,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.63 : 14,589.05 = 5,855.73 : x
  2. Step 2: Convert to fraction form
    10,572.63/14,589.05 = 5,855.73/x
  3. Step 3: Cross multiply
    10,572.63x = 14,589.05 × 5,855.73
  4. Step 4: Simplify right side
    10,572.63x = 85,429,508.48
  5. Step 5: Solve for x
    x = 85,429,508.48/10,572.63
  6. Step 6: Final answer
    x = 8,080.25

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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.