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Finding the Fourth Proportional to 11,524.16, 17,284.80 and 4,950.40

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Solution

The fourth proportional to 11,524.16, 17,284.80 and 4,950.40 is: 7,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.16 : 17,284.80 = 4,950.40 : x
  2. Step 2: Convert to fraction form
    11,524.16/17,284.80 = 4,950.40/x
  3. Step 3: Cross multiply
    11,524.16x = 17,284.80 × 4,950.40
  4. Step 4: Simplify right side
    11,524.16x = 85,566,673.92
  5. Step 5: Solve for x
    x = 85,566,673.92/11,524.16
  6. Step 6: Final answer
    x = 7,424.98

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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.