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Finding the Fourth Proportional to 8,840.34, 12,205.49 and 5,488.16

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Solution

The fourth proportional to 8,840.34, 12,205.49 and 5,488.16 is: 7,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840.34 : 12,205.49 = 5,488.16 : x
  2. Step 2: Convert to fraction form
    8,840.34/12,205.49 = 5,488.16/x
  3. Step 3: Cross multiply
    8,840.34x = 12,205.49 × 5,488.16
  4. Step 4: Simplify right side
    8,840.34x = 66,985,593.53
  5. Step 5: Solve for x
    x = 66,985,593.53/8,840.34
  6. Step 6: Final answer
    x = 7,577.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.