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Finding the Fourth Proportional to 7,614.84, 11,423.64 and 2,349.72

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Solution

The fourth proportional to 7,614.84, 11,423.64 and 2,349.72 is: 3,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.84 : 11,423.64 = 2,349.72 : x
  2. Step 2: Convert to fraction form
    7,614.84/11,423.64 = 2,349.72/x
  3. Step 3: Cross multiply
    7,614.84x = 11,423.64 × 2,349.72
  4. Step 4: Simplify right side
    7,614.84x = 26,842,355.38
  5. Step 5: Solve for x
    x = 26,842,355.38/7,614.84
  6. Step 6: Final answer
    x = 3,525.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.