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Finding the Fourth Proportional to 11,571.16, 17,385.24 and 7,412.96

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Solution

The fourth proportional to 11,571.16, 17,385.24 and 7,412.96 is: 11,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.16 : 17,385.24 = 7,412.96 : x
  2. Step 2: Convert to fraction form
    11,571.16/17,385.24 = 7,412.96/x
  3. Step 3: Cross multiply
    11,571.16x = 17,385.24 × 7,412.96
  4. Step 4: Simplify right side
    11,571.16x = 128,876,088.71
  5. Step 5: Solve for x
    x = 128,876,088.71/11,571.16
  6. Step 6: Final answer
    x = 11,137.70

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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.