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Finding the Fourth Proportional to 10,750.41, 14,840.57 and 7,171.32

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Solution

The fourth proportional to 10,750.41, 14,840.57 and 7,171.32 is: 9,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.41 : 14,840.57 = 7,171.32 : x
  2. Step 2: Convert to fraction form
    10,750.41/14,840.57 = 7,171.32/x
  3. Step 3: Cross multiply
    10,750.41x = 14,840.57 × 7,171.32
  4. Step 4: Simplify right side
    10,750.41x = 106,426,440.60
  5. Step 5: Solve for x
    x = 106,426,440.60/10,750.41
  6. Step 6: Final answer
    x = 9,899.76

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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.