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Finding the Fourth Proportional to 10,223.34, 14,108.34 and 5,746.83

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Solution

The fourth proportional to 10,223.34, 14,108.34 and 5,746.83 is: 7,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.34 : 14,108.34 = 5,746.83 : x
  2. Step 2: Convert to fraction form
    10,223.34/14,108.34 = 5,746.83/x
  3. Step 3: Cross multiply
    10,223.34x = 14,108.34 × 5,746.83
  4. Step 4: Simplify right side
    10,223.34x = 81,078,231.56
  5. Step 5: Solve for x
    x = 81,078,231.56/10,223.34
  6. Step 6: Final answer
    x = 7,930.70

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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.