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Finding the Fourth Proportional to 11,375.72, 15,683.22 and 10,209.32

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Solution

The fourth proportional to 11,375.72, 15,683.22 and 10,209.32 is: 14,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.72 : 15,683.22 = 10,209.32 : x
  2. Step 2: Convert to fraction form
    11,375.72/15,683.22 = 10,209.32/x
  3. Step 3: Cross multiply
    11,375.72x = 15,683.22 × 10,209.32
  4. Step 4: Simplify right side
    11,375.72x = 160,115,011.61
  5. Step 5: Solve for x
    x = 160,115,011.61/11,375.72
  6. Step 6: Final answer
    x = 14,075.15

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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.