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Finding the Fourth Proportional to 11,565.44, 17,348.16 and 2,800.32

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Solution

The fourth proportional to 11,565.44, 17,348.16 and 2,800.32 is: 4,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.44 : 17,348.16 = 2,800.32 : x
  2. Step 2: Convert to fraction form
    11,565.44/17,348.16 = 2,800.32/x
  3. Step 3: Cross multiply
    11,565.44x = 17,348.16 × 2,800.32
  4. Step 4: Simplify right side
    11,565.44x = 48,580,399.41
  5. Step 5: Solve for x
    x = 48,580,399.41/11,565.44
  6. Step 6: Final answer
    x = 4,200.48

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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.