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Finding the Fourth Proportional to 8,418.40, 11,617.02 and 4,830.87

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Solution

The fourth proportional to 8,418.40, 11,617.02 and 4,830.87 is: 6,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.40 : 11,617.02 = 4,830.87 : x
  2. Step 2: Convert to fraction form
    8,418.40/11,617.02 = 4,830.87/x
  3. Step 3: Cross multiply
    8,418.40x = 11,617.02 × 4,830.87
  4. Step 4: Simplify right side
    8,418.40x = 56,120,356.97
  5. Step 5: Solve for x
    x = 56,120,356.97/8,418.40
  6. Step 6: Final answer
    x = 6,666.39

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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.