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Finding the Fourth Proportional to 7,790.84, 10,751.77 and 4,254.06

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Solution

The fourth proportional to 7,790.84, 10,751.77 and 4,254.06 is: 5,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.84 : 10,751.77 = 4,254.06 : x
  2. Step 2: Convert to fraction form
    7,790.84/10,751.77 = 4,254.06/x
  3. Step 3: Cross multiply
    7,790.84x = 10,751.77 × 4,254.06
  4. Step 4: Simplify right side
    7,790.84x = 45,738,674.69
  5. Step 5: Solve for x
    x = 45,738,674.69/7,790.84
  6. Step 6: Final answer
    x = 5,870.83

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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.