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Finding the Fourth Proportional to 11,564.18, 17,349.03 and 3,773

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Solution

The fourth proportional to 11,564.18, 17,349.03 and 3,773 is: 5,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.18 : 17,349.03 = 3,773 : x
  2. Step 2: Convert to fraction form
    11,564.18/17,349.03 = 3,773/x
  3. Step 3: Cross multiply
    11,564.18x = 17,349.03 × 3,773
  4. Step 4: Simplify right side
    11,564.18x = 65,457,890.19
  5. Step 5: Solve for x
    x = 65,457,890.19/11,564.18
  6. Step 6: Final answer
    x = 5,660.40

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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.