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Finding the Fourth Proportional to 7,808.35, 10,775.78 and 4,271.48

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Solution

The fourth proportional to 7,808.35, 10,775.78 and 4,271.48 is: 5,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.35 : 10,775.78 = 4,271.48 : x
  2. Step 2: Convert to fraction form
    7,808.35/10,775.78 = 4,271.48/x
  3. Step 3: Cross multiply
    7,808.35x = 10,775.78 × 4,271.48
  4. Step 4: Simplify right side
    7,808.35x = 46,028,528.75
  5. Step 5: Solve for x
    x = 46,028,528.75/7,808.35
  6. Step 6: Final answer
    x = 5,894.78

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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.