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Finding the Fourth Proportional to 10,762.12, 16,142.53 and 4,837.48

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Solution

The fourth proportional to 10,762.12, 16,142.53 and 4,837.48 is: 7,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.12 : 16,142.53 = 4,837.48 : x
  2. Step 2: Convert to fraction form
    10,762.12/16,142.53 = 4,837.48/x
  3. Step 3: Cross multiply
    10,762.12x = 16,142.53 × 4,837.48
  4. Step 4: Simplify right side
    10,762.12x = 78,089,166.02
  5. Step 5: Solve for x
    x = 78,089,166.02/10,762.12
  6. Step 6: Final answer
    x = 7,255.93

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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.