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Finding the Fourth Proportional to 11,783.46, 17,673.98 and 4,767.14

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Solution

The fourth proportional to 11,783.46, 17,673.98 and 4,767.14 is: 7,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.46 : 17,673.98 = 4,767.14 : x
  2. Step 2: Convert to fraction form
    11,783.46/17,673.98 = 4,767.14/x
  3. Step 3: Cross multiply
    11,783.46x = 17,673.98 × 4,767.14
  4. Step 4: Simplify right side
    11,783.46x = 84,254,337.02
  5. Step 5: Solve for x
    x = 84,254,337.02/11,783.46
  6. Step 6: Final answer
    x = 7,150.22

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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.