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Finding the Fourth Proportional to 11,005.40, 16,508.10 and 7,314.86

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Solution

The fourth proportional to 11,005.40, 16,508.10 and 7,314.86 is: 10,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.40 : 16,508.10 = 7,314.86 : x
  2. Step 2: Convert to fraction form
    11,005.40/16,508.10 = 7,314.86/x
  3. Step 3: Cross multiply
    11,005.40x = 16,508.10 × 7,314.86
  4. Step 4: Simplify right side
    11,005.40x = 120,754,440.37
  5. Step 5: Solve for x
    x = 120,754,440.37/11,005.40
  6. Step 6: Final answer
    x = 10,972.29

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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.