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Finding the Fourth Proportional to 11,430.86, 15,775.43 and 6,395.58

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Solution

The fourth proportional to 11,430.86, 15,775.43 and 6,395.58 is: 8,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.86 : 15,775.43 = 6,395.58 : x
  2. Step 2: Convert to fraction form
    11,430.86/15,775.43 = 6,395.58/x
  3. Step 3: Cross multiply
    11,430.86x = 15,775.43 × 6,395.58
  4. Step 4: Simplify right side
    11,430.86x = 100,892,992.62
  5. Step 5: Solve for x
    x = 100,892,992.62/11,430.86
  6. Step 6: Final answer
    x = 8,826.37

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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.