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Finding the Fourth Proportional to 10,716.84, 14,790.06 and 6,741.36

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Solution

The fourth proportional to 10,716.84, 14,790.06 and 6,741.36 is: 9,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.84 : 14,790.06 = 6,741.36 : x
  2. Step 2: Convert to fraction form
    10,716.84/14,790.06 = 6,741.36/x
  3. Step 3: Cross multiply
    10,716.84x = 14,790.06 × 6,741.36
  4. Step 4: Simplify right side
    10,716.84x = 99,705,118.88
  5. Step 5: Solve for x
    x = 99,705,118.88/10,716.84
  6. Step 6: Final answer
    x = 9,303.59

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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.