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Finding the Fourth Proportional to 12,402.72, 17,108.93 and 7,857.07

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Solution

The fourth proportional to 12,402.72, 17,108.93 and 7,857.07 is: 10,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.72 : 17,108.93 = 7,857.07 : x
  2. Step 2: Convert to fraction form
    12,402.72/17,108.93 = 7,857.07/x
  3. Step 3: Cross multiply
    12,402.72x = 17,108.93 × 7,857.07
  4. Step 4: Simplify right side
    12,402.72x = 134,426,021.35
  5. Step 5: Solve for x
    x = 134,426,021.35/12,402.72
  6. Step 6: Final answer
    x = 10,838.44

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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.