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Finding the Fourth Proportional to 10,558.68, 14,570.62 and 5,843.16

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Solution

The fourth proportional to 10,558.68, 14,570.62 and 5,843.16 is: 8,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.68 : 14,570.62 = 5,843.16 : x
  2. Step 2: Convert to fraction form
    10,558.68/14,570.62 = 5,843.16/x
  3. Step 3: Cross multiply
    10,558.68x = 14,570.62 × 5,843.16
  4. Step 4: Simplify right side
    10,558.68x = 85,138,463.96
  5. Step 5: Solve for x
    x = 85,138,463.96/10,558.68
  6. Step 6: Final answer
    x = 8,063.36

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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.