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Finding the Fourth Proportional to 7,663.37, 10,575.44 and 4,478.86

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Solution

The fourth proportional to 7,663.37, 10,575.44 and 4,478.86 is: 6,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.37 : 10,575.44 = 4,478.86 : x
  2. Step 2: Convert to fraction form
    7,663.37/10,575.44 = 4,478.86/x
  3. Step 3: Cross multiply
    7,663.37x = 10,575.44 × 4,478.86
  4. Step 4: Simplify right side
    7,663.37x = 47,365,862.32
  5. Step 5: Solve for x
    x = 47,365,862.32/7,663.37
  6. Step 6: Final answer
    x = 6,180.81

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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.