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Finding the Fourth Proportional to 7,577.40, 11,366.10 and 5,609.10

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Solution

The fourth proportional to 7,577.40, 11,366.10 and 5,609.10 is: 8,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.40 : 11,366.10 = 5,609.10 : x
  2. Step 2: Convert to fraction form
    7,577.40/11,366.10 = 5,609.10/x
  3. Step 3: Cross multiply
    7,577.40x = 11,366.10 × 5,609.10
  4. Step 4: Simplify right side
    7,577.40x = 63,753,591.51
  5. Step 5: Solve for x
    x = 63,753,591.51/7,577.40
  6. Step 6: Final answer
    x = 8,413.65

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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.