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Finding the Fourth Proportional to 11,189.42, 16,781.53 and 4,946.03

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Solution

The fourth proportional to 11,189.42, 16,781.53 and 4,946.03 is: 7,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.42 : 16,781.53 = 4,946.03 : x
  2. Step 2: Convert to fraction form
    11,189.42/16,781.53 = 4,946.03/x
  3. Step 3: Cross multiply
    11,189.42x = 16,781.53 × 4,946.03
  4. Step 4: Simplify right side
    11,189.42x = 83,001,980.41
  5. Step 5: Solve for x
    x = 83,001,980.41/11,189.42
  6. Step 6: Final answer
    x = 7,417.90

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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.