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Finding the Fourth Proportional to 11,098.36, 15,319.02 and 6,385.96

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Solution

The fourth proportional to 11,098.36, 15,319.02 and 6,385.96 is: 8,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.36 : 15,319.02 = 6,385.96 : x
  2. Step 2: Convert to fraction form
    11,098.36/15,319.02 = 6,385.96/x
  3. Step 3: Cross multiply
    11,098.36x = 15,319.02 × 6,385.96
  4. Step 4: Simplify right side
    11,098.36x = 97,826,648.96
  5. Step 5: Solve for x
    x = 97,826,648.96/11,098.36
  6. Step 6: Final answer
    x = 8,814.51

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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.