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Finding the Fourth Proportional to 11,772.95, 16,245.77 and 7,056.32

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Solution

The fourth proportional to 11,772.95, 16,245.77 and 7,056.32 is: 9,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.95 : 16,245.77 = 7,056.32 : x
  2. Step 2: Convert to fraction form
    11,772.95/16,245.77 = 7,056.32/x
  3. Step 3: Cross multiply
    11,772.95x = 16,245.77 × 7,056.32
  4. Step 4: Simplify right side
    11,772.95x = 114,635,235.26
  5. Step 5: Solve for x
    x = 114,635,235.26/11,772.95
  6. Step 6: Final answer
    x = 9,737.18

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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.