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Finding the Fourth Proportional to 11,630.53, 16,043.30 and 7,316.76

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Solution

The fourth proportional to 11,630.53, 16,043.30 and 7,316.76 is: 10,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.53 : 16,043.30 = 7,316.76 : x
  2. Step 2: Convert to fraction form
    11,630.53/16,043.30 = 7,316.76/x
  3. Step 3: Cross multiply
    11,630.53x = 16,043.30 × 7,316.76
  4. Step 4: Simplify right side
    11,630.53x = 117,385,045.02
  5. Step 5: Solve for x
    x = 117,385,045.02/11,630.53
  6. Step 6: Final answer
    x = 10,092.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.