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Finding the Fourth Proportional to 11,211.94, 15,475.22 and 6,498.96

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Solution

The fourth proportional to 11,211.94, 15,475.22 and 6,498.96 is: 8,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.94 : 15,475.22 = 6,498.96 : x
  2. Step 2: Convert to fraction form
    11,211.94/15,475.22 = 6,498.96/x
  3. Step 3: Cross multiply
    11,211.94x = 15,475.22 × 6,498.96
  4. Step 4: Simplify right side
    11,211.94x = 100,572,835.77
  5. Step 5: Solve for x
    x = 100,572,835.77/11,211.94
  6. Step 6: Final answer
    x = 8,970.15

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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.