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Finding the Fourth Proportional to 11,109.56, 16,666.68 and 4,184

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Solution

The fourth proportional to 11,109.56, 16,666.68 and 4,184 is: 6,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.56 : 16,666.68 = 4,184 : x
  2. Step 2: Convert to fraction form
    11,109.56/16,666.68 = 4,184/x
  3. Step 3: Cross multiply
    11,109.56x = 16,666.68 × 4,184
  4. Step 4: Simplify right side
    11,109.56x = 69,733,389.12
  5. Step 5: Solve for x
    x = 69,733,389.12/11,109.56
  6. Step 6: Final answer
    x = 6,276.88

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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.