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Finding the Fourth Proportional to 11,709.40, 17,564.12 and 4,783.90

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Solution

The fourth proportional to 11,709.40, 17,564.12 and 4,783.90 is: 7,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.40 : 17,564.12 = 4,783.90 : x
  2. Step 2: Convert to fraction form
    11,709.40/17,564.12 = 4,783.90/x
  3. Step 3: Cross multiply
    11,709.40x = 17,564.12 × 4,783.90
  4. Step 4: Simplify right side
    11,709.40x = 84,024,993.67
  5. Step 5: Solve for x
    x = 84,024,993.67/11,709.40
  6. Step 6: Final answer
    x = 7,175.86

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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.