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Finding the Fourth Proportional to 10,741.92, 16,106.28 and 9,825.16

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Solution

The fourth proportional to 10,741.92, 16,106.28 and 9,825.16 is: 14,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.92 : 16,106.28 = 9,825.16 : x
  2. Step 2: Convert to fraction form
    10,741.92/16,106.28 = 9,825.16/x
  3. Step 3: Cross multiply
    10,741.92x = 16,106.28 × 9,825.16
  4. Step 4: Simplify right side
    10,741.92x = 158,246,778.00
  5. Step 5: Solve for x
    x = 158,246,778.00/10,741.92
  6. Step 6: Final answer
    x = 14,731.70

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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.