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Finding the Fourth Proportional to 11,465.25, 17,204.07 and 4,802.33

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Solution

The fourth proportional to 11,465.25, 17,204.07 and 4,802.33 is: 7,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.25 : 17,204.07 = 4,802.33 : x
  2. Step 2: Convert to fraction form
    11,465.25/17,204.07 = 4,802.33/x
  3. Step 3: Cross multiply
    11,465.25x = 17,204.07 × 4,802.33
  4. Step 4: Simplify right side
    11,465.25x = 82,619,682.50
  5. Step 5: Solve for x
    x = 82,619,682.50/11,465.25
  6. Step 6: Final answer
    x = 7,206.10

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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.