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Finding the Fourth Proportional to 7,614.76, 11,423.34 and 2,421.80

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Solution

The fourth proportional to 7,614.76, 11,423.34 and 2,421.80 is: 3,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.76 : 11,423.34 = 2,421.80 : x
  2. Step 2: Convert to fraction form
    7,614.76/11,423.34 = 2,421.80/x
  3. Step 3: Cross multiply
    7,614.76x = 11,423.34 × 2,421.80
  4. Step 4: Simplify right side
    7,614.76x = 27,665,044.81
  5. Step 5: Solve for x
    x = 27,665,044.81/7,614.76
  6. Step 6: Final answer
    x = 3,633.08

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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.