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Finding the Fourth Proportional to 12,370.38, 17,063.64 and 7,333

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Solution

The fourth proportional to 12,370.38, 17,063.64 and 7,333 is: 10,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.38 : 17,063.64 = 7,333 : x
  2. Step 2: Convert to fraction form
    12,370.38/17,063.64 = 7,333/x
  3. Step 3: Cross multiply
    12,370.38x = 17,063.64 × 7,333
  4. Step 4: Simplify right side
    12,370.38x = 125,127,672.12
  5. Step 5: Solve for x
    x = 125,127,672.12/12,370.38
  6. Step 6: Final answer
    x = 10,115.10

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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.