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Finding the Fourth Proportional to 11,402.24, 17,106.53 and 4,005.72

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Solution

The fourth proportional to 11,402.24, 17,106.53 and 4,005.72 is: 6,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.24 : 17,106.53 = 4,005.72 : x
  2. Step 2: Convert to fraction form
    11,402.24/17,106.53 = 4,005.72/x
  3. Step 3: Cross multiply
    11,402.24x = 17,106.53 × 4,005.72
  4. Step 4: Simplify right side
    11,402.24x = 68,523,949.32
  5. Step 5: Solve for x
    x = 68,523,949.32/11,402.24
  6. Step 6: Final answer
    x = 6,009.69

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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.