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Finding the Fourth Proportional to 11,164.22, 15,407.54 and 6,129.42

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Solution

The fourth proportional to 11,164.22, 15,407.54 and 6,129.42 is: 8,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.22 : 15,407.54 = 6,129.42 : x
  2. Step 2: Convert to fraction form
    11,164.22/15,407.54 = 6,129.42/x
  3. Step 3: Cross multiply
    11,164.22x = 15,407.54 × 6,129.42
  4. Step 4: Simplify right side
    11,164.22x = 94,439,283.83
  5. Step 5: Solve for x
    x = 94,439,283.83/11,164.22
  6. Step 6: Final answer
    x = 8,459.10

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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.