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Finding the Fourth Proportional to 8,884.94, 12,255.76 and 5,297.50

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Solution

The fourth proportional to 8,884.94, 12,255.76 and 5,297.50 is: 7,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.94 : 12,255.76 = 5,297.50 : x
  2. Step 2: Convert to fraction form
    8,884.94/12,255.76 = 5,297.50/x
  3. Step 3: Cross multiply
    8,884.94x = 12,255.76 × 5,297.50
  4. Step 4: Simplify right side
    8,884.94x = 64,924,880.74
  5. Step 5: Solve for x
    x = 64,924,880.74/8,884.94
  6. Step 6: Final answer
    x = 7,307.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.