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Finding the Fourth Proportional to 8,590.98, 12,883.50 and 4,433.16

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Solution

The fourth proportional to 8,590.98, 12,883.50 and 4,433.16 is: 6,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.98 : 12,883.50 = 4,433.16 : x
  2. Step 2: Convert to fraction form
    8,590.98/12,883.50 = 4,433.16/x
  3. Step 3: Cross multiply
    8,590.98x = 12,883.50 × 4,433.16
  4. Step 4: Simplify right side
    8,590.98x = 57,114,616.86
  5. Step 5: Solve for x
    x = 57,114,616.86/8,590.98
  6. Step 6: Final answer
    x = 6,648.21

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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.