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Finding the Fourth Proportional to 11,983.59, 16,538.08 and 6,678.40

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Solution

The fourth proportional to 11,983.59, 16,538.08 and 6,678.40 is: 9,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.59 : 16,538.08 = 6,678.40 : x
  2. Step 2: Convert to fraction form
    11,983.59/16,538.08 = 6,678.40/x
  3. Step 3: Cross multiply
    11,983.59x = 16,538.08 × 6,678.40
  4. Step 4: Simplify right side
    11,983.59x = 110,447,830.78
  5. Step 5: Solve for x
    x = 110,447,830.78/11,983.59
  6. Step 6: Final answer
    x = 9,216.59

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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.