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Finding the Fourth Proportional to 11,380.16, 15,704.48 and 6,412.16

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Solution

The fourth proportional to 11,380.16, 15,704.48 and 6,412.16 is: 8,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.16 : 15,704.48 = 6,412.16 : x
  2. Step 2: Convert to fraction form
    11,380.16/15,704.48 = 6,412.16/x
  3. Step 3: Cross multiply
    11,380.16x = 15,704.48 × 6,412.16
  4. Step 4: Simplify right side
    11,380.16x = 100,699,638.48
  5. Step 5: Solve for x
    x = 100,699,638.48/11,380.16
  6. Step 6: Final answer
    x = 8,848.70

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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.