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Finding the Fourth Proportional to 11,774.44, 17,656.80 and 4,754.17

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Solution

The fourth proportional to 11,774.44, 17,656.80 and 4,754.17 is: 7,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.44 : 17,656.80 = 4,754.17 : x
  2. Step 2: Convert to fraction form
    11,774.44/17,656.80 = 4,754.17/x
  3. Step 3: Cross multiply
    11,774.44x = 17,656.80 × 4,754.17
  4. Step 4: Simplify right side
    11,774.44x = 83,943,428.86
  5. Step 5: Solve for x
    x = 83,943,428.86/11,774.44
  6. Step 6: Final answer
    x = 7,129.29

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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.