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Finding the Fourth Proportional to 12,078.66, 18,100.85 and 5,051.10

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Solution

The fourth proportional to 12,078.66, 18,100.85 and 5,051.10 is: 7,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.66 : 18,100.85 = 5,051.10 : x
  2. Step 2: Convert to fraction form
    12,078.66/18,100.85 = 5,051.10/x
  3. Step 3: Cross multiply
    12,078.66x = 18,100.85 × 5,051.10
  4. Step 4: Simplify right side
    12,078.66x = 91,429,178.18
  5. Step 5: Solve for x
    x = 91,429,178.18/12,078.66
  6. Step 6: Final answer
    x = 7,569.48

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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.