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Finding the Fourth Proportional to 11,703.56, 17,550.16 and 3,803.16

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Solution

The fourth proportional to 11,703.56, 17,550.16 and 3,803.16 is: 5,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.56 : 17,550.16 = 3,803.16 : x
  2. Step 2: Convert to fraction form
    11,703.56/17,550.16 = 3,803.16/x
  3. Step 3: Cross multiply
    11,703.56x = 17,550.16 × 3,803.16
  4. Step 4: Simplify right side
    11,703.56x = 66,746,066.51
  5. Step 5: Solve for x
    x = 66,746,066.51/11,703.56
  6. Step 6: Final answer
    x = 5,703.06

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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.