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Finding the Fourth Proportional to 11,560.32, 17,349.12 and 5,408.64

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Solution

The fourth proportional to 11,560.32, 17,349.12 and 5,408.64 is: 8,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.32 : 17,349.12 = 5,408.64 : x
  2. Step 2: Convert to fraction form
    11,560.32/17,349.12 = 5,408.64/x
  3. Step 3: Cross multiply
    11,560.32x = 17,349.12 × 5,408.64
  4. Step 4: Simplify right side
    11,560.32x = 93,835,144.40
  5. Step 5: Solve for x
    x = 93,835,144.40/11,560.32
  6. Step 6: Final answer
    x = 8,117.00

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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.