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Finding the Fourth Proportional to 10,730.94, 16,083.94 and 4,063.20

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Solution

The fourth proportional to 10,730.94, 16,083.94 and 4,063.20 is: 6,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.94 : 16,083.94 = 4,063.20 : x
  2. Step 2: Convert to fraction form
    10,730.94/16,083.94 = 4,063.20/x
  3. Step 3: Cross multiply
    10,730.94x = 16,083.94 × 4,063.20
  4. Step 4: Simplify right side
    10,730.94x = 65,352,265.01
  5. Step 5: Solve for x
    x = 65,352,265.01/10,730.94
  6. Step 6: Final answer
    x = 6,090.08

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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.