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Finding the Fourth Proportional to 10,357.37, 14,288.61 and 6,998.96

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Solution

The fourth proportional to 10,357.37, 14,288.61 and 6,998.96 is: 9,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.37 : 14,288.61 = 6,998.96 : x
  2. Step 2: Convert to fraction form
    10,357.37/14,288.61 = 6,998.96/x
  3. Step 3: Cross multiply
    10,357.37x = 14,288.61 × 6,998.96
  4. Step 4: Simplify right side
    10,357.37x = 100,005,338.40
  5. Step 5: Solve for x
    x = 100,005,338.40/10,357.37
  6. Step 6: Final answer
    x = 9,655.48

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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.