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Finding the Fourth Proportional to 7,663.42, 11,485.51 and 3,275.72

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Solution

The fourth proportional to 7,663.42, 11,485.51 and 3,275.72 is: 4,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.42 : 11,485.51 = 3,275.72 : x
  2. Step 2: Convert to fraction form
    7,663.42/11,485.51 = 3,275.72/x
  3. Step 3: Cross multiply
    7,663.42x = 11,485.51 × 3,275.72
  4. Step 4: Simplify right side
    7,663.42x = 37,623,249.20
  5. Step 5: Solve for x
    x = 37,623,249.20/7,663.42
  6. Step 6: Final answer
    x = 4,909.46

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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.