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Finding the Fourth Proportional to 12,528.40, 17,287.04 and 7,494.64

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Solution

The fourth proportional to 12,528.40, 17,287.04 and 7,494.64 is: 10,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528.40 : 17,287.04 = 7,494.64 : x
  2. Step 2: Convert to fraction form
    12,528.40/17,287.04 = 7,494.64/x
  3. Step 3: Cross multiply
    12,528.40x = 17,287.04 × 7,494.64
  4. Step 4: Simplify right side
    12,528.40x = 129,560,141.47
  5. Step 5: Solve for x
    x = 129,560,141.47/12,528.40
  6. Step 6: Final answer
    x = 10,341.32

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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.