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Finding the Fourth Proportional to 8,830.50, 13,250.61 and 4,213.50

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Solution

The fourth proportional to 8,830.50, 13,250.61 and 4,213.50 is: 6,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.50 : 13,250.61 = 4,213.50 : x
  2. Step 2: Convert to fraction form
    8,830.50/13,250.61 = 4,213.50/x
  3. Step 3: Cross multiply
    8,830.50x = 13,250.61 × 4,213.50
  4. Step 4: Simplify right side
    8,830.50x = 55,831,445.24
  5. Step 5: Solve for x
    x = 55,831,445.24/8,830.50
  6. Step 6: Final answer
    x = 6,322.57

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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.