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Finding the Fourth Proportional to 11,507.21, 15,879.71 and 6,402.62

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Solution

The fourth proportional to 11,507.21, 15,879.71 and 6,402.62 is: 8,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.21 : 15,879.71 = 6,402.62 : x
  2. Step 2: Convert to fraction form
    11,507.21/15,879.71 = 6,402.62/x
  3. Step 3: Cross multiply
    11,507.21x = 15,879.71 × 6,402.62
  4. Step 4: Simplify right side
    11,507.21x = 101,671,669.44
  5. Step 5: Solve for x
    x = 101,671,669.44/11,507.21
  6. Step 6: Final answer
    x = 8,835.48

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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.