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Finding the Fourth Proportional to 6,307.68, 8,704.60 and 3,656.63

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Solution

The fourth proportional to 6,307.68, 8,704.60 and 3,656.63 is: 5,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.68 : 8,704.60 = 3,656.63 : x
  2. Step 2: Convert to fraction form
    6,307.68/8,704.60 = 3,656.63/x
  3. Step 3: Cross multiply
    6,307.68x = 8,704.60 × 3,656.63
  4. Step 4: Simplify right side
    6,307.68x = 31,829,501.50
  5. Step 5: Solve for x
    x = 31,829,501.50/6,307.68
  6. Step 6: Final answer
    x = 5,046.15

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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.