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Finding the Fourth Proportional to 8,563, 11,817.90 and 4,837.24

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Solution

The fourth proportional to 8,563, 11,817.90 and 4,837.24 is: 6,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563 : 11,817.90 = 4,837.24 : x
  2. Step 2: Convert to fraction form
    8,563/11,817.90 = 4,837.24/x
  3. Step 3: Cross multiply
    8,563x = 11,817.90 × 4,837.24
  4. Step 4: Simplify right side
    8,563x = 57,166,018.60
  5. Step 5: Solve for x
    x = 57,166,018.60/8,563
  6. Step 6: Final answer
    x = 6,675.93

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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.