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Finding the Fourth Proportional to 7,765.59, 11,649.54 and 3,606.02

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Solution

The fourth proportional to 7,765.59, 11,649.54 and 3,606.02 is: 5,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.59 : 11,649.54 = 3,606.02 : x
  2. Step 2: Convert to fraction form
    7,765.59/11,649.54 = 3,606.02/x
  3. Step 3: Cross multiply
    7,765.59x = 11,649.54 × 3,606.02
  4. Step 4: Simplify right side
    7,765.59x = 42,008,474.23
  5. Step 5: Solve for x
    x = 42,008,474.23/7,765.59
  6. Step 6: Final answer
    x = 5,409.57

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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.