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Finding the Fourth Proportional to 8,299.60, 11,453.18 and 4,762.72

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Solution

The fourth proportional to 8,299.60, 11,453.18 and 4,762.72 is: 6,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.60 : 11,453.18 = 4,762.72 : x
  2. Step 2: Convert to fraction form
    8,299.60/11,453.18 = 4,762.72/x
  3. Step 3: Cross multiply
    8,299.60x = 11,453.18 × 4,762.72
  4. Step 4: Simplify right side
    8,299.60x = 54,548,289.45
  5. Step 5: Solve for x
    x = 54,548,289.45/8,299.60
  6. Step 6: Final answer
    x = 6,572.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.