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Finding the Fourth Proportional to 10,974.64, 15,139.56 and 7,825.36

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Solution

The fourth proportional to 10,974.64, 15,139.56 and 7,825.36 is: 10,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.64 : 15,139.56 = 7,825.36 : x
  2. Step 2: Convert to fraction form
    10,974.64/15,139.56 = 7,825.36/x
  3. Step 3: Cross multiply
    10,974.64x = 15,139.56 × 7,825.36
  4. Step 4: Simplify right side
    10,974.64x = 118,472,507.24
  5. Step 5: Solve for x
    x = 118,472,507.24/10,974.64
  6. Step 6: Final answer
    x = 10,795.12

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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.