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Finding the Fourth Proportional to 10,578.17, 14,597.34 and 5,863.16

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Solution

The fourth proportional to 10,578.17, 14,597.34 and 5,863.16 is: 8,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.17 : 14,597.34 = 5,863.16 : x
  2. Step 2: Convert to fraction form
    10,578.17/14,597.34 = 5,863.16/x
  3. Step 3: Cross multiply
    10,578.17x = 14,597.34 × 5,863.16
  4. Step 4: Simplify right side
    10,578.17x = 85,586,539.99
  5. Step 5: Solve for x
    x = 85,586,539.99/10,578.17
  6. Step 6: Final answer
    x = 8,090.86

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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.