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Finding the Fourth Proportional to 11,468.06, 17,203 and 4,894.30

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Solution

The fourth proportional to 11,468.06, 17,203 and 4,894.30 is: 7,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.06 : 17,203 = 4,894.30 : x
  2. Step 2: Convert to fraction form
    11,468.06/17,203 = 4,894.30/x
  3. Step 3: Cross multiply
    11,468.06x = 17,203 × 4,894.30
  4. Step 4: Simplify right side
    11,468.06x = 84,196,642.90
  5. Step 5: Solve for x
    x = 84,196,642.90/11,468.06
  6. Step 6: Final answer
    x = 7,341.84

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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.