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Finding the Fourth Proportional to 10,157.39, 14,025.86 and 6,386.87

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Solution

The fourth proportional to 10,157.39, 14,025.86 and 6,386.87 is: 8,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.39 : 14,025.86 = 6,386.87 : x
  2. Step 2: Convert to fraction form
    10,157.39/14,025.86 = 6,386.87/x
  3. Step 3: Cross multiply
    10,157.39x = 14,025.86 × 6,386.87
  4. Step 4: Simplify right side
    10,157.39x = 89,581,242.39
  5. Step 5: Solve for x
    x = 89,581,242.39/10,157.39
  6. Step 6: Final answer
    x = 8,819.31

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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.