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Finding the Fourth Proportional to 8,471.07, 11,690.45 and 4,694.23

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Solution

The fourth proportional to 8,471.07, 11,690.45 and 4,694.23 is: 6,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.07 : 11,690.45 = 4,694.23 : x
  2. Step 2: Convert to fraction form
    8,471.07/11,690.45 = 4,694.23/x
  3. Step 3: Cross multiply
    8,471.07x = 11,690.45 × 4,694.23
  4. Step 4: Simplify right side
    8,471.07x = 54,877,643.61
  5. Step 5: Solve for x
    x = 54,877,643.61/8,471.07
  6. Step 6: Final answer
    x = 6,478.24

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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.