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Finding the Fourth Proportional to 7,263.64, 10,899.36 and 5,623.36

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Solution

The fourth proportional to 7,263.64, 10,899.36 and 5,623.36 is: 8,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.64 : 10,899.36 = 5,623.36 : x
  2. Step 2: Convert to fraction form
    7,263.64/10,899.36 = 5,623.36/x
  3. Step 3: Cross multiply
    7,263.64x = 10,899.36 × 5,623.36
  4. Step 4: Simplify right side
    7,263.64x = 61,291,025.05
  5. Step 5: Solve for x
    x = 61,291,025.05/7,263.64
  6. Step 6: Final answer
    x = 8,438.06

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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.