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Finding the Fourth Proportional to 10,665.08, 14,716.53 and 5,949.08

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Solution

The fourth proportional to 10,665.08, 14,716.53 and 5,949.08 is: 8,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.08 : 14,716.53 = 5,949.08 : x
  2. Step 2: Convert to fraction form
    10,665.08/14,716.53 = 5,949.08/x
  3. Step 3: Cross multiply
    10,665.08x = 14,716.53 × 5,949.08
  4. Step 4: Simplify right side
    10,665.08x = 87,549,814.29
  5. Step 5: Solve for x
    x = 87,549,814.29/10,665.08
  6. Step 6: Final answer
    x = 8,209.02

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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.