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Finding the Fourth Proportional to 8,472, 11,693.88 and 5,954.82

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Solution

The fourth proportional to 8,472, 11,693.88 and 5,954.82 is: 8,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472 : 11,693.88 = 5,954.82 : x
  2. Step 2: Convert to fraction form
    8,472/11,693.88 = 5,954.82/x
  3. Step 3: Cross multiply
    8,472x = 11,693.88 × 5,954.82
  4. Step 4: Simplify right side
    8,472x = 69,634,950.50
  5. Step 5: Solve for x
    x = 69,634,950.50/8,472
  6. Step 6: Final answer
    x = 8,219.42

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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.