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Finding the Fourth Proportional to 10,337.86, 14,266.83 and 5,622.06

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Solution

The fourth proportional to 10,337.86, 14,266.83 and 5,622.06 is: 7,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.86 : 14,266.83 = 5,622.06 : x
  2. Step 2: Convert to fraction form
    10,337.86/14,266.83 = 5,622.06/x
  3. Step 3: Cross multiply
    10,337.86x = 14,266.83 × 5,622.06
  4. Step 4: Simplify right side
    10,337.86x = 80,208,974.27
  5. Step 5: Solve for x
    x = 80,208,974.27/10,337.86
  6. Step 6: Final answer
    x = 7,758.76

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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.