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Finding the Fourth Proportional to 11,164.57, 15,407.30 and 6,129.26

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Solution

The fourth proportional to 11,164.57, 15,407.30 and 6,129.26 is: 8,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.57 : 15,407.30 = 6,129.26 : x
  2. Step 2: Convert to fraction form
    11,164.57/15,407.30 = 6,129.26/x
  3. Step 3: Cross multiply
    11,164.57x = 15,407.30 × 6,129.26
  4. Step 4: Simplify right side
    11,164.57x = 94,435,347.60
  5. Step 5: Solve for x
    x = 94,435,347.60/11,164.57
  6. Step 6: Final answer
    x = 8,458.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.