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Finding the Fourth Proportional to 11,594.81, 15,999.78 and 6,559.49

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Solution

The fourth proportional to 11,594.81, 15,999.78 and 6,559.49 is: 9,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.81 : 15,999.78 = 6,559.49 : x
  2. Step 2: Convert to fraction form
    11,594.81/15,999.78 = 6,559.49/x
  3. Step 3: Cross multiply
    11,594.81x = 15,999.78 × 6,559.49
  4. Step 4: Simplify right side
    11,594.81x = 104,950,396.91
  5. Step 5: Solve for x
    x = 104,950,396.91/11,594.81
  6. Step 6: Final answer
    x = 9,051.50

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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.