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Finding the Fourth Proportional to 10,716.66, 14,775.30 and 6,933.15

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Solution

The fourth proportional to 10,716.66, 14,775.30 and 6,933.15 is: 9,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.66 : 14,775.30 = 6,933.15 : x
  2. Step 2: Convert to fraction form
    10,716.66/14,775.30 = 6,933.15/x
  3. Step 3: Cross multiply
    10,716.66x = 14,775.30 × 6,933.15
  4. Step 4: Simplify right side
    10,716.66x = 102,439,371.20
  5. Step 5: Solve for x
    x = 102,439,371.20/10,716.66
  6. Step 6: Final answer
    x = 9,558.89

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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.