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Finding the Fourth Proportional to 11,854.20, 16,358.82 and 6,549.03

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Solution

The fourth proportional to 11,854.20, 16,358.82 and 6,549.03 is: 9,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.20 : 16,358.82 = 6,549.03 : x
  2. Step 2: Convert to fraction form
    11,854.20/16,358.82 = 6,549.03/x
  3. Step 3: Cross multiply
    11,854.20x = 16,358.82 × 6,549.03
  4. Step 4: Simplify right side
    11,854.20x = 107,134,402.94
  5. Step 5: Solve for x
    x = 107,134,402.94/11,854.20
  6. Step 6: Final answer
    x = 9,037.67

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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.