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Finding the Fourth Proportional to 11,941.50, 16,478.02 and 6,635.72

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Solution

The fourth proportional to 11,941.50, 16,478.02 and 6,635.72 is: 9,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.50 : 16,478.02 = 6,635.72 : x
  2. Step 2: Convert to fraction form
    11,941.50/16,478.02 = 6,635.72/x
  3. Step 3: Cross multiply
    11,941.50x = 16,478.02 × 6,635.72
  4. Step 4: Simplify right side
    11,941.50x = 109,343,526.87
  5. Step 5: Solve for x
    x = 109,343,526.87/11,941.50
  6. Step 6: Final answer
    x = 9,156.60

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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.