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Finding the Fourth Proportional to 13,162.28, 18,155.46 and 7,853

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Solution

The fourth proportional to 13,162.28, 18,155.46 and 7,853 is: 10,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.28 : 18,155.46 = 7,853 : x
  2. Step 2: Convert to fraction form
    13,162.28/18,155.46 = 7,853/x
  3. Step 3: Cross multiply
    13,162.28x = 18,155.46 × 7,853
  4. Step 4: Simplify right side
    13,162.28x = 142,574,827.38
  5. Step 5: Solve for x
    x = 142,574,827.38/13,162.28
  6. Step 6: Final answer
    x = 10,832.08

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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.