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Finding the Fourth Proportional to 8,203.89, 12,307.05 and 4,308.60

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Solution

The fourth proportional to 8,203.89, 12,307.05 and 4,308.60 is: 6,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.89 : 12,307.05 = 4,308.60 : x
  2. Step 2: Convert to fraction form
    8,203.89/12,307.05 = 4,308.60/x
  3. Step 3: Cross multiply
    8,203.89x = 12,307.05 × 4,308.60
  4. Step 4: Simplify right side
    8,203.89x = 53,026,155.63
  5. Step 5: Solve for x
    x = 53,026,155.63/8,203.89
  6. Step 6: Final answer
    x = 6,463.54

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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.