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Finding the Fourth Proportional to 11,705.48, 17,559.03 and 3,913.28

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Solution

The fourth proportional to 11,705.48, 17,559.03 and 3,913.28 is: 5,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.48 : 17,559.03 = 3,913.28 : x
  2. Step 2: Convert to fraction form
    11,705.48/17,559.03 = 3,913.28/x
  3. Step 3: Cross multiply
    11,705.48x = 17,559.03 × 3,913.28
  4. Step 4: Simplify right side
    11,705.48x = 68,713,400.92
  5. Step 5: Solve for x
    x = 68,713,400.92/11,705.48
  6. Step 6: Final answer
    x = 5,870.19

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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.