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Finding the Fourth Proportional to 10,084.26, 13,903.74 and 7,955.58

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Solution

The fourth proportional to 10,084.26, 13,903.74 and 7,955.58 is: 10,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.26 : 13,903.74 = 7,955.58 : x
  2. Step 2: Convert to fraction form
    10,084.26/13,903.74 = 7,955.58/x
  3. Step 3: Cross multiply
    10,084.26x = 13,903.74 × 7,955.58
  4. Step 4: Simplify right side
    10,084.26x = 110,612,315.87
  5. Step 5: Solve for x
    x = 110,612,315.87/10,084.26
  6. Step 6: Final answer
    x = 10,968.81

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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.