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Finding the Fourth Proportional to 11,348.34, 15,659.64 and 10,512.42

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Solution

The fourth proportional to 11,348.34, 15,659.64 and 10,512.42 is: 14,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.34 : 15,659.64 = 10,512.42 : x
  2. Step 2: Convert to fraction form
    11,348.34/15,659.64 = 10,512.42/x
  3. Step 3: Cross multiply
    11,348.34x = 15,659.64 × 10,512.42
  4. Step 4: Simplify right side
    11,348.34x = 164,620,712.73
  5. Step 5: Solve for x
    x = 164,620,712.73/11,348.34
  6. Step 6: Final answer
    x = 14,506.15

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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.