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Finding the Fourth Proportional to 10,922.40, 15,072.93 and 6,945.84

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Solution

The fourth proportional to 10,922.40, 15,072.93 and 6,945.84 is: 9,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.40 : 15,072.93 = 6,945.84 : x
  2. Step 2: Convert to fraction form
    10,922.40/15,072.93 = 6,945.84/x
  3. Step 3: Cross multiply
    10,922.40x = 15,072.93 × 6,945.84
  4. Step 4: Simplify right side
    10,922.40x = 104,694,160.11
  5. Step 5: Solve for x
    x = 104,694,160.11/10,922.40
  6. Step 6: Final answer
    x = 9,585.27

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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.