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Finding the Fourth Proportional to 11,783.08, 17,647.74 and 5,631.40

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Solution

The fourth proportional to 11,783.08, 17,647.74 and 5,631.40 is: 8,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.08 : 17,647.74 = 5,631.40 : x
  2. Step 2: Convert to fraction form
    11,783.08/17,647.74 = 5,631.40/x
  3. Step 3: Cross multiply
    11,783.08x = 17,647.74 × 5,631.40
  4. Step 4: Simplify right side
    11,783.08x = 99,381,483.04
  5. Step 5: Solve for x
    x = 99,381,483.04/11,783.08
  6. Step 6: Final answer
    x = 8,434.25

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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.