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Finding the Fourth Proportional to 12,078.39, 18,098.06 and 6,534.35

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Solution

The fourth proportional to 12,078.39, 18,098.06 and 6,534.35 is: 9,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.39 : 18,098.06 = 6,534.35 : x
  2. Step 2: Convert to fraction form
    12,078.39/18,098.06 = 6,534.35/x
  3. Step 3: Cross multiply
    12,078.39x = 18,098.06 × 6,534.35
  4. Step 4: Simplify right side
    12,078.39x = 118,258,935.20
  5. Step 5: Solve for x
    x = 118,258,935.20/12,078.39
  6. Step 6: Final answer
    x = 9,790.95

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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.