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Finding the Fourth Proportional to 10,223.62, 14,108.58 and 5,748.37

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Solution

The fourth proportional to 10,223.62, 14,108.58 and 5,748.37 is: 7,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.62 : 14,108.58 = 5,748.37 : x
  2. Step 2: Convert to fraction form
    10,223.62/14,108.58 = 5,748.37/x
  3. Step 3: Cross multiply
    10,223.62x = 14,108.58 × 5,748.37
  4. Step 4: Simplify right side
    10,223.62x = 81,101,302.74
  5. Step 5: Solve for x
    x = 81,101,302.74/10,223.62
  6. Step 6: Final answer
    x = 7,932.74

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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.