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Finding the Fourth Proportional to 12,384.38, 17,090.35 and 6,719.13

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Solution

The fourth proportional to 12,384.38, 17,090.35 and 6,719.13 is: 9,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.38 : 17,090.35 = 6,719.13 : x
  2. Step 2: Convert to fraction form
    12,384.38/17,090.35 = 6,719.13/x
  3. Step 3: Cross multiply
    12,384.38x = 17,090.35 × 6,719.13
  4. Step 4: Simplify right side
    12,384.38x = 114,832,266.60
  5. Step 5: Solve for x
    x = 114,832,266.60/12,384.38
  6. Step 6: Final answer
    x = 9,272.34

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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.