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Finding the Fourth Proportional to 10,490.22, 14,463.09 and 8,594.82

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Solution

The fourth proportional to 10,490.22, 14,463.09 and 8,594.82 is: 11,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.22 : 14,463.09 = 8,594.82 : x
  2. Step 2: Convert to fraction form
    10,490.22/14,463.09 = 8,594.82/x
  3. Step 3: Cross multiply
    10,490.22x = 14,463.09 × 8,594.82
  4. Step 4: Simplify right side
    10,490.22x = 124,307,655.19
  5. Step 5: Solve for x
    x = 124,307,655.19/10,490.22
  6. Step 6: Final answer
    x = 11,849.86

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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.