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Finding the Fourth Proportional to 11,102.90, 16,654.35 and 7,166.30

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Solution

The fourth proportional to 11,102.90, 16,654.35 and 7,166.30 is: 10,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.90 : 16,654.35 = 7,166.30 : x
  2. Step 2: Convert to fraction form
    11,102.90/16,654.35 = 7,166.30/x
  3. Step 3: Cross multiply
    11,102.90x = 16,654.35 × 7,166.30
  4. Step 4: Simplify right side
    11,102.90x = 119,350,068.41
  5. Step 5: Solve for x
    x = 119,350,068.41/11,102.90
  6. Step 6: Final answer
    x = 10,749.45

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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.