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Finding the Fourth Proportional to 10,274.58, 14,178.96 and 5,558.90

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Solution

The fourth proportional to 10,274.58, 14,178.96 and 5,558.90 is: 7,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.58 : 14,178.96 = 5,558.90 : x
  2. Step 2: Convert to fraction form
    10,274.58/14,178.96 = 5,558.90/x
  3. Step 3: Cross multiply
    10,274.58x = 14,178.96 × 5,558.90
  4. Step 4: Simplify right side
    10,274.58x = 78,819,349.85
  5. Step 5: Solve for x
    x = 78,819,349.85/10,274.58
  6. Step 6: Final answer
    x = 7,671.30

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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.