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Finding the Fourth Proportional to 11,782.56, 16,259.64 and 6,404.76

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Solution

The fourth proportional to 11,782.56, 16,259.64 and 6,404.76 is: 8,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.56 : 16,259.64 = 6,404.76 : x
  2. Step 2: Convert to fraction form
    11,782.56/16,259.64 = 6,404.76/x
  3. Step 3: Cross multiply
    11,782.56x = 16,259.64 × 6,404.76
  4. Step 4: Simplify right side
    11,782.56x = 104,139,091.89
  5. Step 5: Solve for x
    x = 104,139,091.89/11,782.56
  6. Step 6: Final answer
    x = 8,838.41

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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.