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Finding the Fourth Proportional to 10,581.68, 14,602.14 and 5,865.84

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Solution

The fourth proportional to 10,581.68, 14,602.14 and 5,865.84 is: 8,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.68 : 14,602.14 = 5,865.84 : x
  2. Step 2: Convert to fraction form
    10,581.68/14,602.14 = 5,865.84/x
  3. Step 3: Cross multiply
    10,581.68x = 14,602.14 × 5,865.84
  4. Step 4: Simplify right side
    10,581.68x = 85,653,816.90
  5. Step 5: Solve for x
    x = 85,653,816.90/10,581.68
  6. Step 6: Final answer
    x = 8,094.54

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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.