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Finding the Fourth Proportional to 8,829.24, 12,185.18 and 5,051.64

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Solution

The fourth proportional to 8,829.24, 12,185.18 and 5,051.64 is: 6,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.24 : 12,185.18 = 5,051.64 : x
  2. Step 2: Convert to fraction form
    8,829.24/12,185.18 = 5,051.64/x
  3. Step 3: Cross multiply
    8,829.24x = 12,185.18 × 5,051.64
  4. Step 4: Simplify right side
    8,829.24x = 61,555,142.70
  5. Step 5: Solve for x
    x = 61,555,142.70/8,829.24
  6. Step 6: Final answer
    x = 6,971.74

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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.