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Finding the Fourth Proportional to 12,501.64, 17,249.25 and 7,782.58

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Solution

The fourth proportional to 12,501.64, 17,249.25 and 7,782.58 is: 10,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.64 : 17,249.25 = 7,782.58 : x
  2. Step 2: Convert to fraction form
    12,501.64/17,249.25 = 7,782.58/x
  3. Step 3: Cross multiply
    12,501.64x = 17,249.25 × 7,782.58
  4. Step 4: Simplify right side
    12,501.64x = 134,243,668.07
  5. Step 5: Solve for x
    x = 134,243,668.07/12,501.64
  6. Step 6: Final answer
    x = 10,738.08

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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.