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Finding the Fourth Proportional to 10,752.33, 14,840.43 and 6,276.50

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Solution

The fourth proportional to 10,752.33, 14,840.43 and 6,276.50 is: 8,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.33 : 14,840.43 = 6,276.50 : x
  2. Step 2: Convert to fraction form
    10,752.33/14,840.43 = 6,276.50/x
  3. Step 3: Cross multiply
    10,752.33x = 14,840.43 × 6,276.50
  4. Step 4: Simplify right side
    10,752.33x = 93,145,884.69
  5. Step 5: Solve for x
    x = 93,145,884.69/10,752.33
  6. Step 6: Final answer
    x = 8,662.86

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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.