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Finding the Fourth Proportional to 10,707.68, 16,058.64 and 4,132.64

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Solution

The fourth proportional to 10,707.68, 16,058.64 and 4,132.64 is: 6,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.68 : 16,058.64 = 4,132.64 : x
  2. Step 2: Convert to fraction form
    10,707.68/16,058.64 = 4,132.64/x
  3. Step 3: Cross multiply
    10,707.68x = 16,058.64 × 4,132.64
  4. Step 4: Simplify right side
    10,707.68x = 66,364,578.01
  5. Step 5: Solve for x
    x = 66,364,578.01/10,707.68
  6. Step 6: Final answer
    x = 6,197.85

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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.