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Finding the Fourth Proportional to 12,146.37, 16,762.05 and 7,672.12

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Solution

The fourth proportional to 12,146.37, 16,762.05 and 7,672.12 is: 10,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.37 : 16,762.05 = 7,672.12 : x
  2. Step 2: Convert to fraction form
    12,146.37/16,762.05 = 7,672.12/x
  3. Step 3: Cross multiply
    12,146.37x = 16,762.05 × 7,672.12
  4. Step 4: Simplify right side
    12,146.37x = 128,600,459.05
  5. Step 5: Solve for x
    x = 128,600,459.05/12,146.37
  6. Step 6: Final answer
    x = 10,587.57

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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.