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Finding the Fourth Proportional to 7,583.16, 11,367 and 4,811.88

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Solution

The fourth proportional to 7,583.16, 11,367 and 4,811.88 is: 7,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.16 : 11,367 = 4,811.88 : x
  2. Step 2: Convert to fraction form
    7,583.16/11,367 = 4,811.88/x
  3. Step 3: Cross multiply
    7,583.16x = 11,367 × 4,811.88
  4. Step 4: Simplify right side
    7,583.16x = 54,696,639.96
  5. Step 5: Solve for x
    x = 54,696,639.96/7,583.16
  6. Step 6: Final answer
    x = 7,212.91

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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.