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Finding the Fourth Proportional to 10,583.80, 14,605.62 and 5,867.96

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Solution

The fourth proportional to 10,583.80, 14,605.62 and 5,867.96 is: 8,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.80 : 14,605.62 = 5,867.96 : x
  2. Step 2: Convert to fraction form
    10,583.80/14,605.62 = 5,867.96/x
  3. Step 3: Cross multiply
    10,583.80x = 14,605.62 × 5,867.96
  4. Step 4: Simplify right side
    10,583.80x = 85,705,193.94
  5. Step 5: Solve for x
    x = 85,705,193.94/10,583.80
  6. Step 6: Final answer
    x = 8,097.77

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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.