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Finding the Fourth Proportional to 7,752.64, 11,628.66 and 3,308.48

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Solution

The fourth proportional to 7,752.64, 11,628.66 and 3,308.48 is: 4,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.64 : 11,628.66 = 3,308.48 : x
  2. Step 2: Convert to fraction form
    7,752.64/11,628.66 = 3,308.48/x
  3. Step 3: Cross multiply
    7,752.64x = 11,628.66 × 3,308.48
  4. Step 4: Simplify right side
    7,752.64x = 38,473,189.04
  5. Step 5: Solve for x
    x = 38,473,189.04/7,752.64
  6. Step 6: Final answer
    x = 4,962.59

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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.