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Finding the Fourth Proportional to 10,725.22, 14,787 and 6,941.68

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Solution

The fourth proportional to 10,725.22, 14,787 and 6,941.68 is: 9,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.22 : 14,787 = 6,941.68 : x
  2. Step 2: Convert to fraction form
    10,725.22/14,787 = 6,941.68/x
  3. Step 3: Cross multiply
    10,725.22x = 14,787 × 6,941.68
  4. Step 4: Simplify right side
    10,725.22x = 102,646,622.16
  5. Step 5: Solve for x
    x = 102,646,622.16/10,725.22
  6. Step 6: Final answer
    x = 9,570.58

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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.