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Finding the Fourth Proportional to 7,808.49, 10,775.73 and 4,271.70

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Solution

The fourth proportional to 7,808.49, 10,775.73 and 4,271.70 is: 5,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.49 : 10,775.73 = 4,271.70 : x
  2. Step 2: Convert to fraction form
    7,808.49/10,775.73 = 4,271.70/x
  3. Step 3: Cross multiply
    7,808.49x = 10,775.73 × 4,271.70
  4. Step 4: Simplify right side
    7,808.49x = 46,030,685.84
  5. Step 5: Solve for x
    x = 46,030,685.84/7,808.49
  6. Step 6: Final answer
    x = 5,894.95

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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.