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Finding the Fourth Proportional to 11,648.50, 17,482.47 and 5,492.50

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Solution

The fourth proportional to 11,648.50, 17,482.47 and 5,492.50 is: 8,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.50 : 17,482.47 = 5,492.50 : x
  2. Step 2: Convert to fraction form
    11,648.50/17,482.47 = 5,492.50/x
  3. Step 3: Cross multiply
    11,648.50x = 17,482.47 × 5,492.50
  4. Step 4: Simplify right side
    11,648.50x = 96,022,466.48
  5. Step 5: Solve for x
    x = 96,022,466.48/11,648.50
  6. Step 6: Final answer
    x = 8,243.33

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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.