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Finding the Fourth Proportional to 12,383.76, 17,089.36 and 7,006.12

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Solution

The fourth proportional to 12,383.76, 17,089.36 and 7,006.12 is: 9,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.76 : 17,089.36 = 7,006.12 : x
  2. Step 2: Convert to fraction form
    12,383.76/17,089.36 = 7,006.12/x
  3. Step 3: Cross multiply
    12,383.76x = 17,089.36 × 7,006.12
  4. Step 4: Simplify right side
    12,383.76x = 119,730,106.88
  5. Step 5: Solve for x
    x = 119,730,106.88/12,383.76
  6. Step 6: Final answer
    x = 9,668.32

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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.