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Finding the Fourth Proportional to 10,283.90, 14,191.86 and 5,568.26

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Solution

The fourth proportional to 10,283.90, 14,191.86 and 5,568.26 is: 7,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.90 : 14,191.86 = 5,568.26 : x
  2. Step 2: Convert to fraction form
    10,283.90/14,191.86 = 5,568.26/x
  3. Step 3: Cross multiply
    10,283.90x = 14,191.86 × 5,568.26
  4. Step 4: Simplify right side
    10,283.90x = 79,023,966.36
  5. Step 5: Solve for x
    x = 79,023,966.36/10,283.90
  6. Step 6: Final answer
    x = 7,684.24

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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.