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Finding the Fourth Proportional to 10,311.42, 14,235.68 and 7,171.86

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Solution

The fourth proportional to 10,311.42, 14,235.68 and 7,171.86 is: 9,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.42 : 14,235.68 = 7,171.86 : x
  2. Step 2: Convert to fraction form
    10,311.42/14,235.68 = 7,171.86/x
  3. Step 3: Cross multiply
    10,311.42x = 14,235.68 × 7,171.86
  4. Step 4: Simplify right side
    10,311.42x = 102,096,303.96
  5. Step 5: Solve for x
    x = 102,096,303.96/10,311.42
  6. Step 6: Final answer
    x = 9,901.28

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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.