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Finding the Fourth Proportional to 10,730.55, 16,097.69 and 3,614.11

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Solution

The fourth proportional to 10,730.55, 16,097.69 and 3,614.11 is: 5,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.55 : 16,097.69 = 3,614.11 : x
  2. Step 2: Convert to fraction form
    10,730.55/16,097.69 = 3,614.11/x
  3. Step 3: Cross multiply
    10,730.55x = 16,097.69 × 3,614.11
  4. Step 4: Simplify right side
    10,730.55x = 58,178,822.41
  5. Step 5: Solve for x
    x = 58,178,822.41/10,730.55
  6. Step 6: Final answer
    x = 5,421.79

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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.