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Finding the Fourth Proportional to 10,053.42, 15,055.29 and 8,109.42

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Solution

The fourth proportional to 10,053.42, 15,055.29 and 8,109.42 is: 12,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.42 : 15,055.29 = 8,109.42 : x
  2. Step 2: Convert to fraction form
    10,053.42/15,055.29 = 8,109.42/x
  3. Step 3: Cross multiply
    10,053.42x = 15,055.29 × 8,109.42
  4. Step 4: Simplify right side
    10,053.42x = 122,089,669.83
  5. Step 5: Solve for x
    x = 122,089,669.83/10,053.42
  6. Step 6: Final answer
    x = 12,144.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.