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Finding the Fourth Proportional to 11,433.57, 15,783.75 and 8,602.02

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Solution

The fourth proportional to 11,433.57, 15,783.75 and 8,602.02 is: 11,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.57 : 15,783.75 = 8,602.02 : x
  2. Step 2: Convert to fraction form
    11,433.57/15,783.75 = 8,602.02/x
  3. Step 3: Cross multiply
    11,433.57x = 15,783.75 × 8,602.02
  4. Step 4: Simplify right side
    11,433.57x = 135,772,133.18
  5. Step 5: Solve for x
    x = 135,772,133.18/11,433.57
  6. Step 6: Final answer
    x = 11,874.87

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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.