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Finding the Fourth Proportional to 11,434.96, 17,154.06 and 3,643.84

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Solution

The fourth proportional to 11,434.96, 17,154.06 and 3,643.84 is: 5,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.96 : 17,154.06 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    11,434.96/17,154.06 = 3,643.84/x
  3. Step 3: Cross multiply
    11,434.96x = 17,154.06 × 3,643.84
  4. Step 4: Simplify right side
    11,434.96x = 62,506,649.99
  5. Step 5: Solve for x
    x = 62,506,649.99/11,434.96
  6. Step 6: Final answer
    x = 5,466.28

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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.