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Finding the Fourth Proportional to 8,501.64, 12,757.86 and 3,307.56

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Solution

The fourth proportional to 8,501.64, 12,757.86 and 3,307.56 is: 4,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.64 : 12,757.86 = 3,307.56 : x
  2. Step 2: Convert to fraction form
    8,501.64/12,757.86 = 3,307.56/x
  3. Step 3: Cross multiply
    8,501.64x = 12,757.86 × 3,307.56
  4. Step 4: Simplify right side
    8,501.64x = 42,197,387.42
  5. Step 5: Solve for x
    x = 42,197,387.42/8,501.64
  6. Step 6: Final answer
    x = 4,963.44

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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.