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Finding the Fourth Proportional to 10,675.32, 14,736.14 and 7,137.24

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Solution

The fourth proportional to 10,675.32, 14,736.14 and 7,137.24 is: 9,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.32 : 14,736.14 = 7,137.24 : x
  2. Step 2: Convert to fraction form
    10,675.32/14,736.14 = 7,137.24/x
  3. Step 3: Cross multiply
    10,675.32x = 14,736.14 × 7,137.24
  4. Step 4: Simplify right side
    10,675.32x = 105,175,367.85
  5. Step 5: Solve for x
    x = 105,175,367.85/10,675.32
  6. Step 6: Final answer
    x = 9,852.20

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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.