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Finding the Fourth Proportional to 8,149.21, 11,244.93 and 4,564.35

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Solution

The fourth proportional to 8,149.21, 11,244.93 and 4,564.35 is: 6,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.21 : 11,244.93 = 4,564.35 : x
  2. Step 2: Convert to fraction form
    8,149.21/11,244.93 = 4,564.35/x
  3. Step 3: Cross multiply
    8,149.21x = 11,244.93 × 4,564.35
  4. Step 4: Simplify right side
    8,149.21x = 51,325,779.13
  5. Step 5: Solve for x
    x = 51,325,779.13/8,149.21
  6. Step 6: Final answer
    x = 6,298.25

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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.