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Finding the Fourth Proportional to 11,436.03, 15,772.80 and 7,657.98

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Solution

The fourth proportional to 11,436.03, 15,772.80 and 7,657.98 is: 10,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.03 : 15,772.80 = 7,657.98 : x
  2. Step 2: Convert to fraction form
    11,436.03/15,772.80 = 7,657.98/x
  3. Step 3: Cross multiply
    11,436.03x = 15,772.80 × 7,657.98
  4. Step 4: Simplify right side
    11,436.03x = 120,787,786.94
  5. Step 5: Solve for x
    x = 120,787,786.94/11,436.03
  6. Step 6: Final answer
    x = 10,562.04

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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.