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Finding the Fourth Proportional to 10,580.95, 14,601.66 and 5,865.23

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Solution

The fourth proportional to 10,580.95, 14,601.66 and 5,865.23 is: 8,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.95 : 14,601.66 = 5,865.23 : x
  2. Step 2: Convert to fraction form
    10,580.95/14,601.66 = 5,865.23/x
  3. Step 3: Cross multiply
    10,580.95x = 14,601.66 × 5,865.23
  4. Step 4: Simplify right side
    10,580.95x = 85,642,094.28
  5. Step 5: Solve for x
    x = 85,642,094.28/10,580.95
  6. Step 6: Final answer
    x = 8,093.99

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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.