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Finding the Fourth Proportional to 7,577.10, 11,365.65 and 3,419.07

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Solution

The fourth proportional to 7,577.10, 11,365.65 and 3,419.07 is: 5,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.10 : 11,365.65 = 3,419.07 : x
  2. Step 2: Convert to fraction form
    7,577.10/11,365.65 = 3,419.07/x
  3. Step 3: Cross multiply
    7,577.10x = 11,365.65 × 3,419.07
  4. Step 4: Simplify right side
    7,577.10x = 38,859,952.95
  5. Step 5: Solve for x
    x = 38,859,952.95/7,577.10
  6. Step 6: Final answer
    x = 5,128.61

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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.