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Finding the Fourth Proportional to 12,384.53, 17,090.66 and 7,079.47

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Solution

The fourth proportional to 12,384.53, 17,090.66 and 7,079.47 is: 9,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.53 : 17,090.66 = 7,079.47 : x
  2. Step 2: Convert to fraction form
    12,384.53/17,090.66 = 7,079.47/x
  3. Step 3: Cross multiply
    12,384.53x = 17,090.66 × 7,079.47
  4. Step 4: Simplify right side
    12,384.53x = 120,992,736.63
  5. Step 5: Solve for x
    x = 120,992,736.63/12,384.53
  6. Step 6: Final answer
    x = 9,769.67

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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.