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Finding the Fourth Proportional to 13,046.08, 18,003.65 and 7,077.80

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Solution

The fourth proportional to 13,046.08, 18,003.65 and 7,077.80 is: 9,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.08 : 18,003.65 = 7,077.80 : x
  2. Step 2: Convert to fraction form
    13,046.08/18,003.65 = 7,077.80/x
  3. Step 3: Cross multiply
    13,046.08x = 18,003.65 × 7,077.80
  4. Step 4: Simplify right side
    13,046.08x = 127,426,126.26
  5. Step 5: Solve for x
    x = 127,426,126.26/13,046.08
  6. Step 6: Final answer
    x = 9,767.39

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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.