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Finding the Fourth Proportional to 10,540.46, 14,533.99 and 7,185.24

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Solution

The fourth proportional to 10,540.46, 14,533.99 and 7,185.24 is: 9,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.46 : 14,533.99 = 7,185.24 : x
  2. Step 2: Convert to fraction form
    10,540.46/14,533.99 = 7,185.24/x
  3. Step 3: Cross multiply
    10,540.46x = 14,533.99 × 7,185.24
  4. Step 4: Simplify right side
    10,540.46x = 104,430,188.34
  5. Step 5: Solve for x
    x = 104,430,188.34/10,540.46
  6. Step 6: Final answer
    x = 9,907.55

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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.