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Finding the Fourth Proportional to 10,730.69, 16,097.08 and 3,333.16

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Solution

The fourth proportional to 10,730.69, 16,097.08 and 3,333.16 is: 5,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.69 : 16,097.08 = 3,333.16 : x
  2. Step 2: Convert to fraction form
    10,730.69/16,097.08 = 3,333.16/x
  3. Step 3: Cross multiply
    10,730.69x = 16,097.08 × 3,333.16
  4. Step 4: Simplify right side
    10,730.69x = 53,654,143.17
  5. Step 5: Solve for x
    x = 53,654,143.17/10,730.69
  6. Step 6: Final answer
    x = 5,000.06

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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.