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Finding the Fourth Proportional to 12,966.36, 17,893.14 and 7,661.07

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Solution

The fourth proportional to 12,966.36, 17,893.14 and 7,661.07 is: 10,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.36 : 17,893.14 = 7,661.07 : x
  2. Step 2: Convert to fraction form
    12,966.36/17,893.14 = 7,661.07/x
  3. Step 3: Cross multiply
    12,966.36x = 17,893.14 × 7,661.07
  4. Step 4: Simplify right side
    12,966.36x = 137,080,598.06
  5. Step 5: Solve for x
    x = 137,080,598.06/12,966.36
  6. Step 6: Final answer
    x = 10,572.02

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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.