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Finding the Fourth Proportional to 10,634.84, 15,955.53 and 5,444.36

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Solution

The fourth proportional to 10,634.84, 15,955.53 and 5,444.36 is: 8,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.84 : 15,955.53 = 5,444.36 : x
  2. Step 2: Convert to fraction form
    10,634.84/15,955.53 = 5,444.36/x
  3. Step 3: Cross multiply
    10,634.84x = 15,955.53 × 5,444.36
  4. Step 4: Simplify right side
    10,634.84x = 86,867,649.31
  5. Step 5: Solve for x
    x = 86,867,649.31/10,634.84
  6. Step 6: Final answer
    x = 8,168.21

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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.