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Finding the Fourth Proportional to 10,357.62, 14,288.96 and 6,999.21

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Solution

The fourth proportional to 10,357.62, 14,288.96 and 6,999.21 is: 9,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.62 : 14,288.96 = 6,999.21 : x
  2. Step 2: Convert to fraction form
    10,357.62/14,288.96 = 6,999.21/x
  3. Step 3: Cross multiply
    10,357.62x = 14,288.96 × 6,999.21
  4. Step 4: Simplify right side
    10,357.62x = 100,011,325.28
  5. Step 5: Solve for x
    x = 100,011,325.28/10,357.62
  6. Step 6: Final answer
    x = 9,655.83

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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.