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Finding the Fourth Proportional to 10,641.80, 14,685.71 and 5,861.63

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Solution

The fourth proportional to 10,641.80, 14,685.71 and 5,861.63 is: 8,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.80 : 14,685.71 = 5,861.63 : x
  2. Step 2: Convert to fraction form
    10,641.80/14,685.71 = 5,861.63/x
  3. Step 3: Cross multiply
    10,641.80x = 14,685.71 × 5,861.63
  4. Step 4: Simplify right side
    10,641.80x = 86,082,198.31
  5. Step 5: Solve for x
    x = 86,082,198.31/10,641.80
  6. Step 6: Final answer
    x = 8,089.06

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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.