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Finding the Fourth Proportional to 11,783.76, 17,678.16 and 3,992.40

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Solution

The fourth proportional to 11,783.76, 17,678.16 and 3,992.40 is: 5,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.76 : 17,678.16 = 3,992.40 : x
  2. Step 2: Convert to fraction form
    11,783.76/17,678.16 = 3,992.40/x
  3. Step 3: Cross multiply
    11,783.76x = 17,678.16 × 3,992.40
  4. Step 4: Simplify right side
    11,783.76x = 70,578,285.98
  5. Step 5: Solve for x
    x = 70,578,285.98/11,783.76
  6. Step 6: Final answer
    x = 5,989.45

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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.