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Finding the Fourth Proportional to 11,578.34, 17,369.91 and 4,652.84

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Solution

The fourth proportional to 11,578.34, 17,369.91 and 4,652.84 is: 6,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.34 : 17,369.91 = 4,652.84 : x
  2. Step 2: Convert to fraction form
    11,578.34/17,369.91 = 4,652.84/x
  3. Step 3: Cross multiply
    11,578.34x = 17,369.91 × 4,652.84
  4. Step 4: Simplify right side
    11,578.34x = 80,819,325.19
  5. Step 5: Solve for x
    x = 80,819,325.19/11,578.34
  6. Step 6: Final answer
    x = 6,980.22

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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.