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Finding the Fourth Proportional to 11,658.72, 17,495.34 and 5,085

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Solution

The fourth proportional to 11,658.72, 17,495.34 and 5,085 is: 7,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.72 : 17,495.34 = 5,085 : x
  2. Step 2: Convert to fraction form
    11,658.72/17,495.34 = 5,085/x
  3. Step 3: Cross multiply
    11,658.72x = 17,495.34 × 5,085
  4. Step 4: Simplify right side
    11,658.72x = 88,963,803.90
  5. Step 5: Solve for x
    x = 88,963,803.90/11,658.72
  6. Step 6: Final answer
    x = 7,630.67

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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.