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Finding the Fourth Proportional to 11,437.96, 17,158.56 and 3,646.84

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Solution

The fourth proportional to 11,437.96, 17,158.56 and 3,646.84 is: 5,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.96 : 17,158.56 = 3,646.84 : x
  2. Step 2: Convert to fraction form
    11,437.96/17,158.56 = 3,646.84/x
  3. Step 3: Cross multiply
    11,437.96x = 17,158.56 × 3,646.84
  4. Step 4: Simplify right side
    11,437.96x = 62,574,522.95
  5. Step 5: Solve for x
    x = 62,574,522.95/11,437.96
  6. Step 6: Final answer
    x = 5,470.78

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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.