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Finding the Fourth Proportional to 12,684.78, 17,502.94 and 7,965.72

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Solution

The fourth proportional to 12,684.78, 17,502.94 and 7,965.72 is: 10,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.78 : 17,502.94 = 7,965.72 : x
  2. Step 2: Convert to fraction form
    12,684.78/17,502.94 = 7,965.72/x
  3. Step 3: Cross multiply
    12,684.78x = 17,502.94 × 7,965.72
  4. Step 4: Simplify right side
    12,684.78x = 139,423,519.22
  5. Step 5: Solve for x
    x = 139,423,519.22/12,684.78
  6. Step 6: Final answer
    x = 10,991.40

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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.