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Finding the Fourth Proportional to 10,185.75, 14,067.47 and 7,007.51

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Solution

The fourth proportional to 10,185.75, 14,067.47 and 7,007.51 is: 9,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.75 : 14,067.47 = 7,007.51 : x
  2. Step 2: Convert to fraction form
    10,185.75/14,067.47 = 7,007.51/x
  3. Step 3: Cross multiply
    10,185.75x = 14,067.47 × 7,007.51
  4. Step 4: Simplify right side
    10,185.75x = 98,577,989.39
  5. Step 5: Solve for x
    x = 98,577,989.39/10,185.75
  6. Step 6: Final answer
    x = 9,678.03

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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.