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Finding the Fourth Proportional to 7,314.60, 10,093.50 and 4,170

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Solution

The fourth proportional to 7,314.60, 10,093.50 and 4,170 is: 5,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.60 : 10,093.50 = 4,170 : x
  2. Step 2: Convert to fraction form
    7,314.60/10,093.50 = 4,170/x
  3. Step 3: Cross multiply
    7,314.60x = 10,093.50 × 4,170
  4. Step 4: Simplify right side
    7,314.60x = 42,089,895
  5. Step 5: Solve for x
    x = 42,089,895/7,314.60
  6. Step 6: Final answer
    x = 5,754.23

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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.