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Finding the Fourth Proportional to 10,642.90, 15,964.38 and 3,717.40

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Solution

The fourth proportional to 10,642.90, 15,964.38 and 3,717.40 is: 5,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.90 : 15,964.38 = 3,717.40 : x
  2. Step 2: Convert to fraction form
    10,642.90/15,964.38 = 3,717.40/x
  3. Step 3: Cross multiply
    10,642.90x = 15,964.38 × 3,717.40
  4. Step 4: Simplify right side
    10,642.90x = 59,345,986.21
  5. Step 5: Solve for x
    x = 59,345,986.21/10,642.90
  6. Step 6: Final answer
    x = 5,576.11

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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.