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Finding the Fourth Proportional to 11,203.50, 16,807.78 and 3,707.04

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Solution

The fourth proportional to 11,203.50, 16,807.78 and 3,707.04 is: 5,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.50 : 16,807.78 = 3,707.04 : x
  2. Step 2: Convert to fraction form
    11,203.50/16,807.78 = 3,707.04/x
  3. Step 3: Cross multiply
    11,203.50x = 16,807.78 × 3,707.04
  4. Step 4: Simplify right side
    11,203.50x = 62,307,164.06
  5. Step 5: Solve for x
    x = 62,307,164.06/11,203.50
  6. Step 6: Final answer
    x = 5,561.40

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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.