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Finding the Fourth Proportional to 13,051.08, 18,010.63 and 7,082.80

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Solution

The fourth proportional to 13,051.08, 18,010.63 and 7,082.80 is: 9,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.08 : 18,010.63 = 7,082.80 : x
  2. Step 2: Convert to fraction form
    13,051.08/18,010.63 = 7,082.80/x
  3. Step 3: Cross multiply
    13,051.08x = 18,010.63 × 7,082.80
  4. Step 4: Simplify right side
    13,051.08x = 127,565,654.75
  5. Step 5: Solve for x
    x = 127,565,654.75/13,051.08
  6. Step 6: Final answer
    x = 9,774.34

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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.