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Finding the Fourth Proportional to 7,256.40, 10,895.40 and 5,074.80

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Solution

The fourth proportional to 7,256.40, 10,895.40 and 5,074.80 is: 7,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.40 : 10,895.40 = 5,074.80 : x
  2. Step 2: Convert to fraction form
    7,256.40/10,895.40 = 5,074.80/x
  3. Step 3: Cross multiply
    7,256.40x = 10,895.40 × 5,074.80
  4. Step 4: Simplify right side
    7,256.40x = 55,291,975.92
  5. Step 5: Solve for x
    x = 55,291,975.92/7,256.40
  6. Step 6: Final answer
    x = 7,619.75

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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.