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Finding the Fourth Proportional to 8,509.44, 12,762.72 and 2,352

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Solution

The fourth proportional to 8,509.44, 12,762.72 and 2,352 is: 3,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.44 : 12,762.72 = 2,352 : x
  2. Step 2: Convert to fraction form
    8,509.44/12,762.72 = 2,352/x
  3. Step 3: Cross multiply
    8,509.44x = 12,762.72 × 2,352
  4. Step 4: Simplify right side
    8,509.44x = 30,017,917.44
  5. Step 5: Solve for x
    x = 30,017,917.44/8,509.44
  6. Step 6: Final answer
    x = 3,527.60

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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.