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Finding the Fourth Proportional to 8,742.36, 12,073 and 7,476.08

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Solution

The fourth proportional to 8,742.36, 12,073 and 7,476.08 is: 10,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.36 : 12,073 = 7,476.08 : x
  2. Step 2: Convert to fraction form
    8,742.36/12,073 = 7,476.08/x
  3. Step 3: Cross multiply
    8,742.36x = 12,073 × 7,476.08
  4. Step 4: Simplify right side
    8,742.36x = 90,258,713.84
  5. Step 5: Solve for x
    x = 90,258,713.84/8,742.36
  6. Step 6: Final answer
    x = 10,324.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.