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Finding the Fourth Proportional to 10,645.81, 15,970.63 and 4,402.43

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Solution

The fourth proportional to 10,645.81, 15,970.63 and 4,402.43 is: 6,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.81 : 15,970.63 = 4,402.43 : x
  2. Step 2: Convert to fraction form
    10,645.81/15,970.63 = 4,402.43/x
  3. Step 3: Cross multiply
    10,645.81x = 15,970.63 × 4,402.43
  4. Step 4: Simplify right side
    10,645.81x = 70,309,489.77
  5. Step 5: Solve for x
    x = 70,309,489.77/10,645.81
  6. Step 6: Final answer
    x = 6,604.43

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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.