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Finding the Fourth Proportional to 11,333, 16,980.54 and 8,030.12

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Solution

The fourth proportional to 11,333, 16,980.54 and 8,030.12 is: 12,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333 : 16,980.54 = 8,030.12 : x
  2. Step 2: Convert to fraction form
    11,333/16,980.54 = 8,030.12/x
  3. Step 3: Cross multiply
    11,333x = 16,980.54 × 8,030.12
  4. Step 4: Simplify right side
    11,333x = 136,355,773.86
  5. Step 5: Solve for x
    x = 136,355,773.86/11,333
  6. Step 6: Final answer
    x = 12,031.75

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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.