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Finding the Fourth Proportional to 8,292.92, 11,432.13 and 6,300.01

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Solution

The fourth proportional to 8,292.92, 11,432.13 and 6,300.01 is: 8,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.92 : 11,432.13 = 6,300.01 : x
  2. Step 2: Convert to fraction form
    8,292.92/11,432.13 = 6,300.01/x
  3. Step 3: Cross multiply
    8,292.92x = 11,432.13 × 6,300.01
  4. Step 4: Simplify right side
    8,292.92x = 72,022,533.32
  5. Step 5: Solve for x
    x = 72,022,533.32/8,292.92
  6. Step 6: Final answer
    x = 8,684.83

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