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Finding the Fourth Proportional to 11,411.82, 15,752.88 and 7,436.34

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Solution

The fourth proportional to 11,411.82, 15,752.88 and 7,436.34 is: 10,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.82 : 15,752.88 = 7,436.34 : x
  2. Step 2: Convert to fraction form
    11,411.82/15,752.88 = 7,436.34/x
  3. Step 3: Cross multiply
    11,411.82x = 15,752.88 × 7,436.34
  4. Step 4: Simplify right side
    11,411.82x = 117,143,771.66
  5. Step 5: Solve for x
    x = 117,143,771.66/11,411.82
  6. Step 6: Final answer
    x = 10,265.13

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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.