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Finding the Fourth Proportional to 12,311.16, 18,461.40 and 6,762.84

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Solution

The fourth proportional to 12,311.16, 18,461.40 and 6,762.84 is: 10,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.16 : 18,461.40 = 6,762.84 : x
  2. Step 2: Convert to fraction form
    12,311.16/18,461.40 = 6,762.84/x
  3. Step 3: Cross multiply
    12,311.16x = 18,461.40 × 6,762.84
  4. Step 4: Simplify right side
    12,311.16x = 124,851,494.38
  5. Step 5: Solve for x
    x = 124,851,494.38/12,311.16
  6. Step 6: Final answer
    x = 10,141.33

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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.