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Finding the Fourth Proportional to 10,825.71, 14,933.97 and 6,575.64

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Solution

The fourth proportional to 10,825.71, 14,933.97 and 6,575.64 is: 9,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.71 : 14,933.97 = 6,575.64 : x
  2. Step 2: Convert to fraction form
    10,825.71/14,933.97 = 6,575.64/x
  3. Step 3: Cross multiply
    10,825.71x = 14,933.97 × 6,575.64
  4. Step 4: Simplify right side
    10,825.71x = 98,200,302.94
  5. Step 5: Solve for x
    x = 98,200,302.94/10,825.71
  6. Step 6: Final answer
    x = 9,071.03

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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.