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Finding the Fourth Proportional to 7,763.46, 11,646.35 and 3,603.90

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Solution

The fourth proportional to 7,763.46, 11,646.35 and 3,603.90 is: 5,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.46 : 11,646.35 = 3,603.90 : x
  2. Step 2: Convert to fraction form
    7,763.46/11,646.35 = 3,603.90/x
  3. Step 3: Cross multiply
    7,763.46x = 11,646.35 × 3,603.90
  4. Step 4: Simplify right side
    7,763.46x = 41,972,280.77
  5. Step 5: Solve for x
    x = 41,972,280.77/7,763.46
  6. Step 6: Final answer
    x = 5,406.39

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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.