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Finding the Fourth Proportional to 10,618.42, 14,654.24 and 5,903.01

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Solution

The fourth proportional to 10,618.42, 14,654.24 and 5,903.01 is: 8,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.42 : 14,654.24 = 5,903.01 : x
  2. Step 2: Convert to fraction form
    10,618.42/14,654.24 = 5,903.01/x
  3. Step 3: Cross multiply
    10,618.42x = 14,654.24 × 5,903.01
  4. Step 4: Simplify right side
    10,618.42x = 86,504,125.26
  5. Step 5: Solve for x
    x = 86,504,125.26/10,618.42
  6. Step 6: Final answer
    x = 8,146.61

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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.