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Finding the Fourth Proportional to 8,583.76, 12,876.72 and 3,035.80

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Solution

The fourth proportional to 8,583.76, 12,876.72 and 3,035.80 is: 4,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.76 : 12,876.72 = 3,035.80 : x
  2. Step 2: Convert to fraction form
    8,583.76/12,876.72 = 3,035.80/x
  3. Step 3: Cross multiply
    8,583.76x = 12,876.72 × 3,035.80
  4. Step 4: Simplify right side
    8,583.76x = 39,091,146.58
  5. Step 5: Solve for x
    x = 39,091,146.58/8,583.76
  6. Step 6: Final answer
    x = 4,554.08

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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.