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Finding the Fourth Proportional to 10,524.49, 15,775.63 and 3,502.63

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Solution

The fourth proportional to 10,524.49, 15,775.63 and 3,502.63 is: 5,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.49 : 15,775.63 = 3,502.63 : x
  2. Step 2: Convert to fraction form
    10,524.49/15,775.63 = 3,502.63/x
  3. Step 3: Cross multiply
    10,524.49x = 15,775.63 × 3,502.63
  4. Step 4: Simplify right side
    10,524.49x = 55,256,146.71
  5. Step 5: Solve for x
    x = 55,256,146.71/10,524.49
  6. Step 6: Final answer
    x = 5,250.25

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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.