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Finding the Fourth Proportional to 7,823.77, 11,718.43 and 7,392.44

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Solution

The fourth proportional to 7,823.77, 11,718.43 and 7,392.44 is: 11,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.77 : 11,718.43 = 7,392.44 : x
  2. Step 2: Convert to fraction form
    7,823.77/11,718.43 = 7,392.44/x
  3. Step 3: Cross multiply
    7,823.77x = 11,718.43 × 7,392.44
  4. Step 4: Simplify right side
    7,823.77x = 86,627,790.67
  5. Step 5: Solve for x
    x = 86,627,790.67/7,823.77
  6. Step 6: Final answer
    x = 11,072.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.