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Finding the Fourth Proportional to 11,476.39, 15,828.92 and 7,444.21

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Solution

The fourth proportional to 11,476.39, 15,828.92 and 7,444.21 is: 10,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.39 : 15,828.92 = 7,444.21 : x
  2. Step 2: Convert to fraction form
    11,476.39/15,828.92 = 7,444.21/x
  3. Step 3: Cross multiply
    11,476.39x = 15,828.92 × 7,444.21
  4. Step 4: Simplify right side
    11,476.39x = 117,833,725.41
  5. Step 5: Solve for x
    x = 117,833,725.41/11,476.39
  6. Step 6: Final answer
    x = 10,267.49

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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.