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Finding the Fourth Proportional to 11,706.72, 16,152.48 and 6,990

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Solution

The fourth proportional to 11,706.72, 16,152.48 and 6,990 is: 9,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.72 : 16,152.48 = 6,990 : x
  2. Step 2: Convert to fraction form
    11,706.72/16,152.48 = 6,990/x
  3. Step 3: Cross multiply
    11,706.72x = 16,152.48 × 6,990
  4. Step 4: Simplify right side
    11,706.72x = 112,905,835.20
  5. Step 5: Solve for x
    x = 112,905,835.20/11,706.72
  6. Step 6: Final answer
    x = 9,644.53

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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.