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Finding the Fourth Proportional to 8,762.34, 12,093.15 and 5,784.38

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Solution

The fourth proportional to 8,762.34, 12,093.15 and 5,784.38 is: 7,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.34 : 12,093.15 = 5,784.38 : x
  2. Step 2: Convert to fraction form
    8,762.34/12,093.15 = 5,784.38/x
  3. Step 3: Cross multiply
    8,762.34x = 12,093.15 × 5,784.38
  4. Step 4: Simplify right side
    8,762.34x = 69,951,349.03
  5. Step 5: Solve for x
    x = 69,951,349.03/8,762.34
  6. Step 6: Final answer
    x = 7,983.18

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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.