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Finding the Fourth Proportional to 11,709.34, 17,564.04 and 4,783.84

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Solution

The fourth proportional to 11,709.34, 17,564.04 and 4,783.84 is: 7,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.34 : 17,564.04 = 4,783.84 : x
  2. Step 2: Convert to fraction form
    11,709.34/17,564.04 = 4,783.84/x
  3. Step 3: Cross multiply
    11,709.34x = 17,564.04 × 4,783.84
  4. Step 4: Simplify right side
    11,709.34x = 84,023,557.11
  5. Step 5: Solve for x
    x = 84,023,557.11/11,709.34
  6. Step 6: Final answer
    x = 7,175.77

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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.