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Finding the Fourth Proportional to 11,753.74, 17,636.80 and 5,184.46

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Solution

The fourth proportional to 11,753.74, 17,636.80 and 5,184.46 is: 7,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.74 : 17,636.80 = 5,184.46 : x
  2. Step 2: Convert to fraction form
    11,753.74/17,636.80 = 5,184.46/x
  3. Step 3: Cross multiply
    11,753.74x = 17,636.80 × 5,184.46
  4. Step 4: Simplify right side
    11,753.74x = 91,437,284.13
  5. Step 5: Solve for x
    x = 91,437,284.13/11,753.74
  6. Step 6: Final answer
    x = 7,779.42

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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.