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Finding the Fourth Proportional to 10,157.94, 14,035.62 and 8,386.44

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Solution

The fourth proportional to 10,157.94, 14,035.62 and 8,386.44 is: 11,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.94 : 14,035.62 = 8,386.44 : x
  2. Step 2: Convert to fraction form
    10,157.94/14,035.62 = 8,386.44/x
  3. Step 3: Cross multiply
    10,157.94x = 14,035.62 × 8,386.44
  4. Step 4: Simplify right side
    10,157.94x = 117,708,884.99
  5. Step 5: Solve for x
    x = 117,708,884.99/10,157.94
  6. Step 6: Final answer
    x = 11,587.87

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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.