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Finding the Fourth Proportional to 12,407.12, 18,610.62 and 4,509.62

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Solution

The fourth proportional to 12,407.12, 18,610.62 and 4,509.62 is: 6,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.12 : 18,610.62 = 4,509.62 : x
  2. Step 2: Convert to fraction form
    12,407.12/18,610.62 = 4,509.62/x
  3. Step 3: Cross multiply
    12,407.12x = 18,610.62 × 4,509.62
  4. Step 4: Simplify right side
    12,407.12x = 83,926,824.16
  5. Step 5: Solve for x
    x = 83,926,824.16/12,407.12
  6. Step 6: Final answer
    x = 6,764.41

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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.