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Finding the Fourth Proportional to 11,539.71, 17,307.08 and 3,642.84

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Solution

The fourth proportional to 11,539.71, 17,307.08 and 3,642.84 is: 5,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.71 : 17,307.08 = 3,642.84 : x
  2. Step 2: Convert to fraction form
    11,539.71/17,307.08 = 3,642.84/x
  3. Step 3: Cross multiply
    11,539.71x = 17,307.08 × 3,642.84
  4. Step 4: Simplify right side
    11,539.71x = 63,047,005.24
  5. Step 5: Solve for x
    x = 63,047,005.24/11,539.71
  6. Step 6: Final answer
    x = 5,463.48

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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.