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Finding the Fourth Proportional to 10,712.58, 16,062.71 and 4,137.90

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Solution

The fourth proportional to 10,712.58, 16,062.71 and 4,137.90 is: 6,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.58 : 16,062.71 = 4,137.90 : x
  2. Step 2: Convert to fraction form
    10,712.58/16,062.71 = 4,137.90/x
  3. Step 3: Cross multiply
    10,712.58x = 16,062.71 × 4,137.90
  4. Step 4: Simplify right side
    10,712.58x = 66,465,867.02
  5. Step 5: Solve for x
    x = 66,465,867.02/10,712.58
  6. Step 6: Final answer
    x = 6,204.47

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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.