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Finding the Fourth Proportional to 10,713.12, 14,784.96 and 6,732.96

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Solution

The fourth proportional to 10,713.12, 14,784.96 and 6,732.96 is: 9,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.12 : 14,784.96 = 6,732.96 : x
  2. Step 2: Convert to fraction form
    10,713.12/14,784.96 = 6,732.96/x
  3. Step 3: Cross multiply
    10,713.12x = 14,784.96 × 6,732.96
  4. Step 4: Simplify right side
    10,713.12x = 99,546,544.28
  5. Step 5: Solve for x
    x = 99,546,544.28/10,713.12
  6. Step 6: Final answer
    x = 9,292.02

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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.