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Finding the Fourth Proportional to 8,916.98, 12,305.61 and 4,938.20

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Solution

The fourth proportional to 8,916.98, 12,305.61 and 4,938.20 is: 6,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.98 : 12,305.61 = 4,938.20 : x
  2. Step 2: Convert to fraction form
    8,916.98/12,305.61 = 4,938.20/x
  3. Step 3: Cross multiply
    8,916.98x = 12,305.61 × 4,938.20
  4. Step 4: Simplify right side
    8,916.98x = 60,767,477.08
  5. Step 5: Solve for x
    x = 60,767,477.08/8,916.98
  6. Step 6: Final answer
    x = 6,814.80

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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.