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Finding the Fourth Proportional to 7,852.95, 11,770.38 and 3,170.07

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Solution

The fourth proportional to 7,852.95, 11,770.38 and 3,170.07 is: 4,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.95 : 11,770.38 = 3,170.07 : x
  2. Step 2: Convert to fraction form
    7,852.95/11,770.38 = 3,170.07/x
  3. Step 3: Cross multiply
    7,852.95x = 11,770.38 × 3,170.07
  4. Step 4: Simplify right side
    7,852.95x = 37,312,928.53
  5. Step 5: Solve for x
    x = 37,312,928.53/7,852.95
  6. Step 6: Final answer
    x = 4,751.45

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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.