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Finding the Fourth Proportional to 11,078.78, 15,288.11 and 6,298.06

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Solution

The fourth proportional to 11,078.78, 15,288.11 and 6,298.06 is: 8,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.78 : 15,288.11 = 6,298.06 : x
  2. Step 2: Convert to fraction form
    11,078.78/15,288.11 = 6,298.06/x
  3. Step 3: Cross multiply
    11,078.78x = 15,288.11 × 6,298.06
  4. Step 4: Simplify right side
    11,078.78x = 96,285,434.07
  5. Step 5: Solve for x
    x = 96,285,434.07/11,078.78
  6. Step 6: Final answer
    x = 8,690.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.