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Finding the Fourth Proportional to 8,323.16, 12,485.14 and 3,128.63

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Solution

The fourth proportional to 8,323.16, 12,485.14 and 3,128.63 is: 4,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.16 : 12,485.14 = 3,128.63 : x
  2. Step 2: Convert to fraction form
    8,323.16/12,485.14 = 3,128.63/x
  3. Step 3: Cross multiply
    8,323.16x = 12,485.14 × 3,128.63
  4. Step 4: Simplify right side
    8,323.16x = 39,061,313.31
  5. Step 5: Solve for x
    x = 39,061,313.31/8,323.16
  6. Step 6: Final answer
    x = 4,693.09

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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.