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Finding the Fourth Proportional to 10,157.70, 14,019.13 and 6,178.05

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Solution

The fourth proportional to 10,157.70, 14,019.13 and 6,178.05 is: 8,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.70 : 14,019.13 = 6,178.05 : x
  2. Step 2: Convert to fraction form
    10,157.70/14,019.13 = 6,178.05/x
  3. Step 3: Cross multiply
    10,157.70x = 14,019.13 × 6,178.05
  4. Step 4: Simplify right side
    10,157.70x = 86,610,819.64
  5. Step 5: Solve for x
    x = 86,610,819.64/10,157.70
  6. Step 6: Final answer
    x = 8,526.61

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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.