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Finding the Fourth Proportional to 10,609.82, 15,910.63 and 4,686.39

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Solution

The fourth proportional to 10,609.82, 15,910.63 and 4,686.39 is: 7,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.82 : 15,910.63 = 4,686.39 : x
  2. Step 2: Convert to fraction form
    10,609.82/15,910.63 = 4,686.39/x
  3. Step 3: Cross multiply
    10,609.82x = 15,910.63 × 4,686.39
  4. Step 4: Simplify right side
    10,609.82x = 74,563,405.61
  5. Step 5: Solve for x
    x = 74,563,405.61/10,609.82
  6. Step 6: Final answer
    x = 7,027.77

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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.