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Finding the Fourth Proportional to 10,350.56, 14,287.92 and 6,158

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Solution

The fourth proportional to 10,350.56, 14,287.92 and 6,158 is: 8,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.56 : 14,287.92 = 6,158 : x
  2. Step 2: Convert to fraction form
    10,350.56/14,287.92 = 6,158/x
  3. Step 3: Cross multiply
    10,350.56x = 14,287.92 × 6,158
  4. Step 4: Simplify right side
    10,350.56x = 87,985,011.36
  5. Step 5: Solve for x
    x = 87,985,011.36/10,350.56
  6. Step 6: Final answer
    x = 8,500.51

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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.