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Finding the Fourth Proportional to 10,339.60, 14,268.44 and 5,624

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Solution

The fourth proportional to 10,339.60, 14,268.44 and 5,624 is: 7,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.60 : 14,268.44 = 5,624 : x
  2. Step 2: Convert to fraction form
    10,339.60/14,268.44 = 5,624/x
  3. Step 3: Cross multiply
    10,339.60x = 14,268.44 × 5,624
  4. Step 4: Simplify right side
    10,339.60x = 80,245,706.56
  5. Step 5: Solve for x
    x = 80,245,706.56/10,339.60
  6. Step 6: Final answer
    x = 7,761.01

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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.