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Finding the Fourth Proportional to 10,606.34, 15,903.42 and 4,370.66

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Solution

The fourth proportional to 10,606.34, 15,903.42 and 4,370.66 is: 6,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.34 : 15,903.42 = 4,370.66 : x
  2. Step 2: Convert to fraction form
    10,606.34/15,903.42 = 4,370.66/x
  3. Step 3: Cross multiply
    10,606.34x = 15,903.42 × 4,370.66
  4. Step 4: Simplify right side
    10,606.34x = 69,508,405.39
  5. Step 5: Solve for x
    x = 69,508,405.39/10,606.34
  6. Step 6: Final answer
    x = 6,553.48

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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.