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Finding the Fourth Proportional to 8,420.98, 11,622 and 4,837.06

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Solution

The fourth proportional to 8,420.98, 11,622 and 4,837.06 is: 6,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.98 : 11,622 = 4,837.06 : x
  2. Step 2: Convert to fraction form
    8,420.98/11,622 = 4,837.06/x
  3. Step 3: Cross multiply
    8,420.98x = 11,622 × 4,837.06
  4. Step 4: Simplify right side
    8,420.98x = 56,216,311.32
  5. Step 5: Solve for x
    x = 56,216,311.32/8,420.98
  6. Step 6: Final answer
    x = 6,675.74

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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.