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Finding the Fourth Proportional to 11,594.96, 16,001.04 and 6,289.80

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Solution

The fourth proportional to 11,594.96, 16,001.04 and 6,289.80 is: 8,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.96 : 16,001.04 = 6,289.80 : x
  2. Step 2: Convert to fraction form
    11,594.96/16,001.04 = 6,289.80/x
  3. Step 3: Cross multiply
    11,594.96x = 16,001.04 × 6,289.80
  4. Step 4: Simplify right side
    11,594.96x = 100,643,341.39
  5. Step 5: Solve for x
    x = 100,643,341.39/11,594.96
  6. Step 6: Final answer
    x = 8,679.92

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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.