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Finding the Fourth Proportional to 11,354.46, 15,667.35 and 6,385.50

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Solution

The fourth proportional to 11,354.46, 15,667.35 and 6,385.50 is: 8,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.46 : 15,667.35 = 6,385.50 : x
  2. Step 2: Convert to fraction form
    11,354.46/15,667.35 = 6,385.50/x
  3. Step 3: Cross multiply
    11,354.46x = 15,667.35 × 6,385.50
  4. Step 4: Simplify right side
    11,354.46x = 100,043,863.43
  5. Step 5: Solve for x
    x = 100,043,863.43/11,354.46
  6. Step 6: Final answer
    x = 8,810.98

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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.