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Finding the Fourth Proportional to 11,385.98, 15,727.59 and 8,728.77

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Solution

The fourth proportional to 11,385.98, 15,727.59 and 8,728.77 is: 12,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.98 : 15,727.59 = 8,728.77 : x
  2. Step 2: Convert to fraction form
    11,385.98/15,727.59 = 8,728.77/x
  3. Step 3: Cross multiply
    11,385.98x = 15,727.59 × 8,728.77
  4. Step 4: Simplify right side
    11,385.98x = 137,282,515.76
  5. Step 5: Solve for x
    x = 137,282,515.76/11,385.98
  6. Step 6: Final answer
    x = 12,057.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.