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Finding the Fourth Proportional to 8,635.85, 11,910.51 and 5,802.35

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Solution

The fourth proportional to 8,635.85, 11,910.51 and 5,802.35 is: 8,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.85 : 11,910.51 = 5,802.35 : x
  2. Step 2: Convert to fraction form
    8,635.85/11,910.51 = 5,802.35/x
  3. Step 3: Cross multiply
    8,635.85x = 11,910.51 × 5,802.35
  4. Step 4: Simplify right side
    8,635.85x = 69,108,947.70
  5. Step 5: Solve for x
    x = 69,108,947.70/8,635.85
  6. Step 6: Final answer
    x = 8,002.56

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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.