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Finding the Fourth Proportional to 10,363.01, 14,300.42 and 5,886.14

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Solution

The fourth proportional to 10,363.01, 14,300.42 and 5,886.14 is: 8,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.01 : 14,300.42 = 5,886.14 : x
  2. Step 2: Convert to fraction form
    10,363.01/14,300.42 = 5,886.14/x
  3. Step 3: Cross multiply
    10,363.01x = 14,300.42 × 5,886.14
  4. Step 4: Simplify right side
    10,363.01x = 84,174,173.25
  5. Step 5: Solve for x
    x = 84,174,173.25/10,363.01
  6. Step 6: Final answer
    x = 8,122.56

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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.