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Finding the Fourth Proportional to 11,594.21, 15,999.93 and 6,289.04

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Solution

The fourth proportional to 11,594.21, 15,999.93 and 6,289.04 is: 8,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.21 : 15,999.93 = 6,289.04 : x
  2. Step 2: Convert to fraction form
    11,594.21/15,999.93 = 6,289.04/x
  3. Step 3: Cross multiply
    11,594.21x = 15,999.93 × 6,289.04
  4. Step 4: Simplify right side
    11,594.21x = 100,624,119.77
  5. Step 5: Solve for x
    x = 100,624,119.77/11,594.21
  6. Step 6: Final answer
    x = 8,678.82

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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.