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Finding the Fourth Proportional to 12,384.16, 17,090.16 and 7,078.96

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Solution

The fourth proportional to 12,384.16, 17,090.16 and 7,078.96 is: 9,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.16 : 17,090.16 = 7,078.96 : x
  2. Step 2: Convert to fraction form
    12,384.16/17,090.16 = 7,078.96/x
  3. Step 3: Cross multiply
    12,384.16x = 17,090.16 × 7,078.96
  4. Step 4: Simplify right side
    12,384.16x = 120,980,559.03
  5. Step 5: Solve for x
    x = 120,980,559.03/12,384.16
  6. Step 6: Final answer
    x = 9,768.98

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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.