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Finding the Fourth Proportional to 10,421.58, 15,632.10 and 3,306.27

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Solution

The fourth proportional to 10,421.58, 15,632.10 and 3,306.27 is: 4,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.58 : 15,632.10 = 3,306.27 : x
  2. Step 2: Convert to fraction form
    10,421.58/15,632.10 = 3,306.27/x
  3. Step 3: Cross multiply
    10,421.58x = 15,632.10 × 3,306.27
  4. Step 4: Simplify right side
    10,421.58x = 51,683,943.27
  5. Step 5: Solve for x
    x = 51,683,943.27/10,421.58
  6. Step 6: Final answer
    x = 4,959.32

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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.