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Finding the Fourth Proportional to 11,402.63, 17,105.65 and 4,005.78

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Solution

The fourth proportional to 11,402.63, 17,105.65 and 4,005.78 is: 6,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.63 : 17,105.65 = 4,005.78 : x
  2. Step 2: Convert to fraction form
    11,402.63/17,105.65 = 4,005.78/x
  3. Step 3: Cross multiply
    11,402.63x = 17,105.65 × 4,005.78
  4. Step 4: Simplify right side
    11,402.63x = 68,521,492.72
  5. Step 5: Solve for x
    x = 68,521,492.72/11,402.63
  6. Step 6: Final answer
    x = 6,009.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.