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Finding the Fourth Proportional to 10,232.80, 15,336 and 4,303.04

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Solution

The fourth proportional to 10,232.80, 15,336 and 4,303.04 is: 6,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.80 : 15,336 = 4,303.04 : x
  2. Step 2: Convert to fraction form
    10,232.80/15,336 = 4,303.04/x
  3. Step 3: Cross multiply
    10,232.80x = 15,336 × 4,303.04
  4. Step 4: Simplify right side
    10,232.80x = 65,991,421.44
  5. Step 5: Solve for x
    x = 65,991,421.44/10,232.80
  6. Step 6: Final answer
    x = 6,449.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.