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Finding the Fourth Proportional to 7,646.19, 11,474.14 and 3,263.68

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Solution

The fourth proportional to 7,646.19, 11,474.14 and 3,263.68 is: 4,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.19 : 11,474.14 = 3,263.68 : x
  2. Step 2: Convert to fraction form
    7,646.19/11,474.14 = 3,263.68/x
  3. Step 3: Cross multiply
    7,646.19x = 11,474.14 × 3,263.68
  4. Step 4: Simplify right side
    7,646.19x = 37,447,921.24
  5. Step 5: Solve for x
    x = 37,447,921.24/7,646.19
  6. Step 6: Final answer
    x = 4,897.59

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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.