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Finding the Fourth Proportional to 8,675.12, 11,971.64 and 4,696.24

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Solution

The fourth proportional to 8,675.12, 11,971.64 and 4,696.24 is: 6,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.12 : 11,971.64 = 4,696.24 : x
  2. Step 2: Convert to fraction form
    8,675.12/11,971.64 = 4,696.24/x
  3. Step 3: Cross multiply
    8,675.12x = 11,971.64 × 4,696.24
  4. Step 4: Simplify right side
    8,675.12x = 56,221,694.63
  5. Step 5: Solve for x
    x = 56,221,694.63/8,675.12
  6. Step 6: Final answer
    x = 6,480.80

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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.