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Finding the Fourth Proportional to 11,778.95, 17,666.58 and 7,648.24

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Solution

The fourth proportional to 11,778.95, 17,666.58 and 7,648.24 is: 11,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.95 : 17,666.58 = 7,648.24 : x
  2. Step 2: Convert to fraction form
    11,778.95/17,666.58 = 7,648.24/x
  3. Step 3: Cross multiply
    11,778.95x = 17,666.58 × 7,648.24
  4. Step 4: Simplify right side
    11,778.95x = 135,118,243.82
  5. Step 5: Solve for x
    x = 135,118,243.82/11,778.95
  6. Step 6: Final answer
    x = 11,471.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.