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Finding the Fourth Proportional to 12,384.52, 17,090.10 and 6,795.64

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Solution

The fourth proportional to 12,384.52, 17,090.10 and 6,795.64 is: 9,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.52 : 17,090.10 = 6,795.64 : x
  2. Step 2: Convert to fraction form
    12,384.52/17,090.10 = 6,795.64/x
  3. Step 3: Cross multiply
    12,384.52x = 17,090.10 × 6,795.64
  4. Step 4: Simplify right side
    12,384.52x = 116,138,167.16
  5. Step 5: Solve for x
    x = 116,138,167.16/12,384.52
  6. Step 6: Final answer
    x = 9,377.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.