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Finding the Fourth Proportional to 11,783.47, 17,674.80 and 3,018.46

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Solution

The fourth proportional to 11,783.47, 17,674.80 and 3,018.46 is: 4,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.47 : 17,674.80 = 3,018.46 : x
  2. Step 2: Convert to fraction form
    11,783.47/17,674.80 = 3,018.46/x
  3. Step 3: Cross multiply
    11,783.47x = 17,674.80 × 3,018.46
  4. Step 4: Simplify right side
    11,783.47x = 53,350,676.81
  5. Step 5: Solve for x
    x = 53,350,676.81/11,783.47
  6. Step 6: Final answer
    x = 4,527.59

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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.