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Finding the Fourth Proportional to 8,505.95, 12,762.57 and 2,956.26

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Solution

The fourth proportional to 8,505.95, 12,762.57 and 2,956.26 is: 4,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.95 : 12,762.57 = 2,956.26 : x
  2. Step 2: Convert to fraction form
    8,505.95/12,762.57 = 2,956.26/x
  3. Step 3: Cross multiply
    8,505.95x = 12,762.57 × 2,956.26
  4. Step 4: Simplify right side
    8,505.95x = 37,729,534.13
  5. Step 5: Solve for x
    x = 37,729,534.13/8,505.95
  6. Step 6: Final answer
    x = 4,435.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.