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Finding the Fourth Proportional to 10,746.30, 16,138.65 and 7,827.90

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Solution

The fourth proportional to 10,746.30, 16,138.65 and 7,827.90 is: 11,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.30 : 16,138.65 = 7,827.90 : x
  2. Step 2: Convert to fraction form
    10,746.30/16,138.65 = 7,827.90/x
  3. Step 3: Cross multiply
    10,746.30x = 16,138.65 × 7,827.90
  4. Step 4: Simplify right side
    10,746.30x = 126,331,738.34
  5. Step 5: Solve for x
    x = 126,331,738.34/10,746.30
  6. Step 6: Final answer
    x = 11,755.84

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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.