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Finding the Fourth Proportional to 7,673.64, 11,513.64 and 3,727.01

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Solution

The fourth proportional to 7,673.64, 11,513.64 and 3,727.01 is: 5,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.64 : 11,513.64 = 3,727.01 : x
  2. Step 2: Convert to fraction form
    7,673.64/11,513.64 = 3,727.01/x
  3. Step 3: Cross multiply
    7,673.64x = 11,513.64 × 3,727.01
  4. Step 4: Simplify right side
    7,673.64x = 42,911,494.18
  5. Step 5: Solve for x
    x = 42,911,494.18/7,673.64
  6. Step 6: Final answer
    x = 5,592.07

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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.