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Finding the Fourth Proportional to 10,762.96, 14,850.26 and 6,284.12

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Solution

The fourth proportional to 10,762.96, 14,850.26 and 6,284.12 is: 8,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.96 : 14,850.26 = 6,284.12 : x
  2. Step 2: Convert to fraction form
    10,762.96/14,850.26 = 6,284.12/x
  3. Step 3: Cross multiply
    10,762.96x = 14,850.26 × 6,284.12
  4. Step 4: Simplify right side
    10,762.96x = 93,320,815.87
  5. Step 5: Solve for x
    x = 93,320,815.87/10,762.96
  6. Step 6: Final answer
    x = 8,670.55

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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.