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Finding the Fourth Proportional to 11,594.91, 16,001.27 and 6,558.90

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Solution

The fourth proportional to 11,594.91, 16,001.27 and 6,558.90 is: 9,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.91 : 16,001.27 = 6,558.90 : x
  2. Step 2: Convert to fraction form
    11,594.91/16,001.27 = 6,558.90/x
  3. Step 3: Cross multiply
    11,594.91x = 16,001.27 × 6,558.90
  4. Step 4: Simplify right side
    11,594.91x = 104,950,729.80
  5. Step 5: Solve for x
    x = 104,950,729.80/11,594.91
  6. Step 6: Final answer
    x = 9,051.45

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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.