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Finding the Fourth Proportional to 8,442.36, 11,647.90 and 4,904.88

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Solution

The fourth proportional to 8,442.36, 11,647.90 and 4,904.88 is: 6,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.36 : 11,647.90 = 4,904.88 : x
  2. Step 2: Convert to fraction form
    8,442.36/11,647.90 = 4,904.88/x
  3. Step 3: Cross multiply
    8,442.36x = 11,647.90 × 4,904.88
  4. Step 4: Simplify right side
    8,442.36x = 57,131,551.75
  5. Step 5: Solve for x
    x = 57,131,551.75/8,442.36
  6. Step 6: Final answer
    x = 6,767.25

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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.