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Finding the Fourth Proportional to 11,352.73, 16,966.36 and 8,397.45

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Solution

The fourth proportional to 11,352.73, 16,966.36 and 8,397.45 is: 12,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.73 : 16,966.36 = 8,397.45 : x
  2. Step 2: Convert to fraction form
    11,352.73/16,966.36 = 8,397.45/x
  3. Step 3: Cross multiply
    11,352.73x = 16,966.36 × 8,397.45
  4. Step 4: Simplify right side
    11,352.73x = 142,474,159.78
  5. Step 5: Solve for x
    x = 142,474,159.78/11,352.73
  6. Step 6: Final answer
    x = 12,549.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.