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Finding the Fourth Proportional to 11,233.34, 15,506.98 and 7,256.39

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Solution

The fourth proportional to 11,233.34, 15,506.98 and 7,256.39 is: 10,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.34 : 15,506.98 = 7,256.39 : x
  2. Step 2: Convert to fraction form
    11,233.34/15,506.98 = 7,256.39/x
  3. Step 3: Cross multiply
    11,233.34x = 15,506.98 × 7,256.39
  4. Step 4: Simplify right side
    11,233.34x = 112,524,694.60
  5. Step 5: Solve for x
    x = 112,524,694.60/11,233.34
  6. Step 6: Final answer
    x = 10,017.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.