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Finding the Fourth Proportional to 12,868.39, 19,302.60 and 5,077

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Solution

The fourth proportional to 12,868.39, 19,302.60 and 5,077 is: 7,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.39 : 19,302.60 = 5,077 : x
  2. Step 2: Convert to fraction form
    12,868.39/19,302.60 = 5,077/x
  3. Step 3: Cross multiply
    12,868.39x = 19,302.60 × 5,077
  4. Step 4: Simplify right side
    12,868.39x = 97,999,300.20
  5. Step 5: Solve for x
    x = 97,999,300.20/12,868.39
  6. Step 6: Final answer
    x = 7,615.51

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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.