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Finding the Fourth Proportional to 10,624.44, 14,662.20 and 6,148.40

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Solution

The fourth proportional to 10,624.44, 14,662.20 and 6,148.40 is: 8,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.44 : 14,662.20 = 6,148.40 : x
  2. Step 2: Convert to fraction form
    10,624.44/14,662.20 = 6,148.40/x
  3. Step 3: Cross multiply
    10,624.44x = 14,662.20 × 6,148.40
  4. Step 4: Simplify right side
    10,624.44x = 90,149,070.48
  5. Step 5: Solve for x
    x = 90,149,070.48/10,624.44
  6. Step 6: Final answer
    x = 8,485.07

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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.