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Finding the Fourth Proportional to 8,675.34, 11,972 and 4,696.45

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Solution

The fourth proportional to 8,675.34, 11,972 and 4,696.45 is: 6,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.34 : 11,972 = 4,696.45 : x
  2. Step 2: Convert to fraction form
    8,675.34/11,972 = 4,696.45/x
  3. Step 3: Cross multiply
    8,675.34x = 11,972 × 4,696.45
  4. Step 4: Simplify right side
    8,675.34x = 56,225,899.40
  5. Step 5: Solve for x
    x = 56,225,899.40/8,675.34
  6. Step 6: Final answer
    x = 6,481.12

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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.