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Finding the Fourth Proportional to 10,540.32, 14,539 and 6,759.51

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Solution

The fourth proportional to 10,540.32, 14,539 and 6,759.51 is: 9,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.32 : 14,539 = 6,759.51 : x
  2. Step 2: Convert to fraction form
    10,540.32/14,539 = 6,759.51/x
  3. Step 3: Cross multiply
    10,540.32x = 14,539 × 6,759.51
  4. Step 4: Simplify right side
    10,540.32x = 98,276,515.89
  5. Step 5: Solve for x
    x = 98,276,515.89/10,540.32
  6. Step 6: Final answer
    x = 9,323.86

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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.