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Finding the Fourth Proportional to 11,594.31, 15,999.09 and 6,558.99

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Solution

The fourth proportional to 11,594.31, 15,999.09 and 6,558.99 is: 9,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.31 : 15,999.09 = 6,558.99 : x
  2. Step 2: Convert to fraction form
    11,594.31/15,999.09 = 6,558.99/x
  3. Step 3: Cross multiply
    11,594.31x = 15,999.09 × 6,558.99
  4. Step 4: Simplify right side
    11,594.31x = 104,937,871.32
  5. Step 5: Solve for x
    x = 104,937,871.32/11,594.31
  6. Step 6: Final answer
    x = 9,050.81

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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.