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Finding the Fourth Proportional to 11,877.78, 17,816.81 and 3,113.58

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Solution

The fourth proportional to 11,877.78, 17,816.81 and 3,113.58 is: 4,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.78 : 17,816.81 = 3,113.58 : x
  2. Step 2: Convert to fraction form
    11,877.78/17,816.81 = 3,113.58/x
  3. Step 3: Cross multiply
    11,877.78x = 17,816.81 × 3,113.58
  4. Step 4: Simplify right side
    11,877.78x = 55,474,047.71
  5. Step 5: Solve for x
    x = 55,474,047.71/11,877.78
  6. Step 6: Final answer
    x = 4,670.41

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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.