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Finding the Fourth Proportional to 8,622.50, 12,924.54 and 4,916.74

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Solution

The fourth proportional to 8,622.50, 12,924.54 and 4,916.74 is: 7,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.50 : 12,924.54 = 4,916.74 : x
  2. Step 2: Convert to fraction form
    8,622.50/12,924.54 = 4,916.74/x
  3. Step 3: Cross multiply
    8,622.50x = 12,924.54 × 4,916.74
  4. Step 4: Simplify right side
    8,622.50x = 63,546,602.80
  5. Step 5: Solve for x
    x = 63,546,602.80/8,622.50
  6. Step 6: Final answer
    x = 7,369.86

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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.