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Finding the Fourth Proportional to 12,758.64, 17,607.01 and 7,016.19

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Solution

The fourth proportional to 12,758.64, 17,607.01 and 7,016.19 is: 9,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.64 : 17,607.01 = 7,016.19 : x
  2. Step 2: Convert to fraction form
    12,758.64/17,607.01 = 7,016.19/x
  3. Step 3: Cross multiply
    12,758.64x = 17,607.01 × 7,016.19
  4. Step 4: Simplify right side
    12,758.64x = 123,534,127.49
  5. Step 5: Solve for x
    x = 123,534,127.49/12,758.64
  6. Step 6: Final answer
    x = 9,682.39

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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.