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Finding the Fourth Proportional to 10,707.39, 16,061.90 and 2,916

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Solution

The fourth proportional to 10,707.39, 16,061.90 and 2,916 is: 4,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.39 : 16,061.90 = 2,916 : x
  2. Step 2: Convert to fraction form
    10,707.39/16,061.90 = 2,916/x
  3. Step 3: Cross multiply
    10,707.39x = 16,061.90 × 2,916
  4. Step 4: Simplify right side
    10,707.39x = 46,836,485.82
  5. Step 5: Solve for x
    x = 46,836,485.82/10,707.39
  6. Step 6: Final answer
    x = 4,374.22

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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.