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Finding the Fourth Proportional to 30,876.98, 46,315.40 and 7,503.44

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Solution

The fourth proportional to 30,876.98, 46,315.40 and 7,503.44 is: 11,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.98 : 46,315.40 = 7,503.44 : x
  2. Step 2: Convert to fraction form
    30,876.98/46,315.40 = 7,503.44/x
  3. Step 3: Cross multiply
    30,876.98x = 46,315.40 × 7,503.44
  4. Step 4: Simplify right side
    30,876.98x = 347,524,824.98
  5. Step 5: Solve for x
    x = 347,524,824.98/30,876.98
  6. Step 6: Final answer
    x = 11,255.14

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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.