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Finding the Fourth Proportional to 11,758.77, 17,642.00 and 4,363.88

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Solution

The fourth proportional to 11,758.77, 17,642.00 and 4,363.88 is: 6,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.77 : 17,642.00 = 4,363.88 : x
  2. Step 2: Convert to fraction form
    11,758.77/17,642.00 = 4,363.88/x
  3. Step 3: Cross multiply
    11,758.77x = 17,642.00 × 4,363.88
  4. Step 4: Simplify right side
    11,758.77x = 76,987,493.66
  5. Step 5: Solve for x
    x = 76,987,493.66/11,758.77
  6. Step 6: Final answer
    x = 6,547.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.