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Finding the Fourth Proportional to 12,283.76, 18,412.68 and 5,261.60

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Solution

The fourth proportional to 12,283.76, 18,412.68 and 5,261.60 is: 7,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.76 : 18,412.68 = 5,261.60 : x
  2. Step 2: Convert to fraction form
    12,283.76/18,412.68 = 5,261.60/x
  3. Step 3: Cross multiply
    12,283.76x = 18,412.68 × 5,261.60
  4. Step 4: Simplify right side
    12,283.76x = 96,880,157.09
  5. Step 5: Solve for x
    x = 96,880,157.09/12,283.76
  6. Step 6: Final answer
    x = 7,886.85

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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.