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Finding the Fourth Proportional to 10,646.09, 15,971.06 and 4,402.71

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Solution

The fourth proportional to 10,646.09, 15,971.06 and 4,402.71 is: 6,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.09 : 15,971.06 = 4,402.71 : x
  2. Step 2: Convert to fraction form
    10,646.09/15,971.06 = 4,402.71/x
  3. Step 3: Cross multiply
    10,646.09x = 15,971.06 × 4,402.71
  4. Step 4: Simplify right side
    10,646.09x = 70,315,923.56
  5. Step 5: Solve for x
    x = 70,315,923.56/10,646.09
  6. Step 6: Final answer
    x = 6,604.86

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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.