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Finding the Fourth Proportional to 10,009.08, 15,014.16 and 4,166.28

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Solution

The fourth proportional to 10,009.08, 15,014.16 and 4,166.28 is: 6,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.08 : 15,014.16 = 4,166.28 : x
  2. Step 2: Convert to fraction form
    10,009.08/15,014.16 = 4,166.28/x
  3. Step 3: Cross multiply
    10,009.08x = 15,014.16 × 4,166.28
  4. Step 4: Simplify right side
    10,009.08x = 62,553,194.52
  5. Step 5: Solve for x
    x = 62,553,194.52/10,009.08
  6. Step 6: Final answer
    x = 6,249.64

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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.