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Finding the Fourth Proportional to 10,695.34, 16,044.68 and 3,301.46

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Solution

The fourth proportional to 10,695.34, 16,044.68 and 3,301.46 is: 4,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.34 : 16,044.68 = 3,301.46 : x
  2. Step 2: Convert to fraction form
    10,695.34/16,044.68 = 3,301.46/x
  3. Step 3: Cross multiply
    10,695.34x = 16,044.68 × 3,301.46
  4. Step 4: Simplify right side
    10,695.34x = 52,970,857.43
  5. Step 5: Solve for x
    x = 52,970,857.43/10,695.34
  6. Step 6: Final answer
    x = 4,952.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.