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Finding the Fourth Proportional to 11,558.88, 15,946.80 and 8,020.32

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Solution

The fourth proportional to 11,558.88, 15,946.80 and 8,020.32 is: 11,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.88 : 15,946.80 = 8,020.32 : x
  2. Step 2: Convert to fraction form
    11,558.88/15,946.80 = 8,020.32/x
  3. Step 3: Cross multiply
    11,558.88x = 15,946.80 × 8,020.32
  4. Step 4: Simplify right side
    11,558.88x = 127,898,438.98
  5. Step 5: Solve for x
    x = 127,898,438.98/11,558.88
  6. Step 6: Final answer
    x = 11,064.95

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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.