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Finding the Fourth Proportional to 11,477.50, 17,209.06 and 4,812.18

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Solution

The fourth proportional to 11,477.50, 17,209.06 and 4,812.18 is: 7,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.50 : 17,209.06 = 4,812.18 : x
  2. Step 2: Convert to fraction form
    11,477.50/17,209.06 = 4,812.18/x
  3. Step 3: Cross multiply
    11,477.50x = 17,209.06 × 4,812.18
  4. Step 4: Simplify right side
    11,477.50x = 82,813,094.35
  5. Step 5: Solve for x
    x = 82,813,094.35/11,477.50
  6. Step 6: Final answer
    x = 7,215.26

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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.