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Finding the Fourth Proportional to 11,698.16, 17,547.77 and 2,933.15

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Solution

The fourth proportional to 11,698.16, 17,547.77 and 2,933.15 is: 4,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.16 : 17,547.77 = 2,933.15 : x
  2. Step 2: Convert to fraction form
    11,698.16/17,547.77 = 2,933.15/x
  3. Step 3: Cross multiply
    11,698.16x = 17,547.77 × 2,933.15
  4. Step 4: Simplify right side
    11,698.16x = 51,470,161.17
  5. Step 5: Solve for x
    x = 51,470,161.17/11,698.16
  6. Step 6: Final answer
    x = 4,399.85

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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.