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Finding the Fourth Proportional to 10,580.72, 14,599.88 and 5,865

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Solution

The fourth proportional to 10,580.72, 14,599.88 and 5,865 is: 8,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.72 : 14,599.88 = 5,865 : x
  2. Step 2: Convert to fraction form
    10,580.72/14,599.88 = 5,865/x
  3. Step 3: Cross multiply
    10,580.72x = 14,599.88 × 5,865
  4. Step 4: Simplify right side
    10,580.72x = 85,628,296.20
  5. Step 5: Solve for x
    x = 85,628,296.20/10,580.72
  6. Step 6: Final answer
    x = 8,092.86

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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.