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Finding the Fourth Proportional to 10,730.72, 16,096.09 and 6,104

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Solution

The fourth proportional to 10,730.72, 16,096.09 and 6,104 is: 9,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.72 : 16,096.09 = 6,104 : x
  2. Step 2: Convert to fraction form
    10,730.72/16,096.09 = 6,104/x
  3. Step 3: Cross multiply
    10,730.72x = 16,096.09 × 6,104
  4. Step 4: Simplify right side
    10,730.72x = 98,250,533.36
  5. Step 5: Solve for x
    x = 98,250,533.36/10,730.72
  6. Step 6: Final answer
    x = 9,156.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.