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Finding the Fourth Proportional to 10,729.41, 16,073.35 and 6,035.15

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Solution

The fourth proportional to 10,729.41, 16,073.35 and 6,035.15 is: 9,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.41 : 16,073.35 = 6,035.15 : x
  2. Step 2: Convert to fraction form
    10,729.41/16,073.35 = 6,035.15/x
  3. Step 3: Cross multiply
    10,729.41x = 16,073.35 × 6,035.15
  4. Step 4: Simplify right side
    10,729.41x = 97,005,078.25
  5. Step 5: Solve for x
    x = 97,005,078.25/10,729.41
  6. Step 6: Final answer
    x = 9,041.05

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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.