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Finding the Fourth Proportional to 8,463.75, 12,696.45 and 2,307.75

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Solution

The fourth proportional to 8,463.75, 12,696.45 and 2,307.75 is: 3,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.75 : 12,696.45 = 2,307.75 : x
  2. Step 2: Convert to fraction form
    8,463.75/12,696.45 = 2,307.75/x
  3. Step 3: Cross multiply
    8,463.75x = 12,696.45 × 2,307.75
  4. Step 4: Simplify right side
    8,463.75x = 29,300,232.49
  5. Step 5: Solve for x
    x = 29,300,232.49/8,463.75
  6. Step 6: Final answer
    x = 3,461.85

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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.