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Finding the Fourth Proportional to 7,763.69, 11,646.95 and 3,603.12

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Solution

The fourth proportional to 7,763.69, 11,646.95 and 3,603.12 is: 5,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.69 : 11,646.95 = 3,603.12 : x
  2. Step 2: Convert to fraction form
    7,763.69/11,646.95 = 3,603.12/x
  3. Step 3: Cross multiply
    7,763.69x = 11,646.95 × 3,603.12
  4. Step 4: Simplify right side
    7,763.69x = 41,965,364.03
  5. Step 5: Solve for x
    x = 41,965,364.03/7,763.69
  6. Step 6: Final answer
    x = 5,405.34

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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.