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Finding the Fourth Proportional to 11,014.60, 16,521.93 and 7,742.33

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Solution

The fourth proportional to 11,014.60, 16,521.93 and 7,742.33 is: 11,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.60 : 16,521.93 = 7,742.33 : x
  2. Step 2: Convert to fraction form
    11,014.60/16,521.93 = 7,742.33/x
  3. Step 3: Cross multiply
    11,014.60x = 16,521.93 × 7,742.33
  4. Step 4: Simplify right side
    11,014.60x = 127,918,234.30
  5. Step 5: Solve for x
    x = 127,918,234.30/11,014.60
  6. Step 6: Final answer
    x = 11,613.52

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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.