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Finding the Fourth Proportional to 11,555.76, 17,333.40 and 7,397.76

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Solution

The fourth proportional to 11,555.76, 17,333.40 and 7,397.76 is: 11,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.76 : 17,333.40 = 7,397.76 : x
  2. Step 2: Convert to fraction form
    11,555.76/17,333.40 = 7,397.76/x
  3. Step 3: Cross multiply
    11,555.76x = 17,333.40 × 7,397.76
  4. Step 4: Simplify right side
    11,555.76x = 128,228,333.18
  5. Step 5: Solve for x
    x = 128,228,333.18/11,555.76
  6. Step 6: Final answer
    x = 11,096.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.