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Finding the Fourth Proportional to 11,852.28, 17,774.54 and 3,953.10

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Solution

The fourth proportional to 11,852.28, 17,774.54 and 3,953.10 is: 5,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.28 : 17,774.54 = 3,953.10 : x
  2. Step 2: Convert to fraction form
    11,852.28/17,774.54 = 3,953.10/x
  3. Step 3: Cross multiply
    11,852.28x = 17,774.54 × 3,953.10
  4. Step 4: Simplify right side
    11,852.28x = 70,264,534.07
  5. Step 5: Solve for x
    x = 70,264,534.07/11,852.28
  6. Step 6: Final answer
    x = 5,928.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.