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Finding the Fourth Proportional to 10,395.04, 14,311.90 and 8,412.16

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Solution

The fourth proportional to 10,395.04, 14,311.90 and 8,412.16 is: 11,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.04 : 14,311.90 = 8,412.16 : x
  2. Step 2: Convert to fraction form
    10,395.04/14,311.90 = 8,412.16/x
  3. Step 3: Cross multiply
    10,395.04x = 14,311.90 × 8,412.16
  4. Step 4: Simplify right side
    10,395.04x = 120,393,992.70
  5. Step 5: Solve for x
    x = 120,393,992.70/10,395.04
  6. Step 6: Final answer
    x = 11,581.87

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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.