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Finding the Fourth Proportional to 11,502.64, 17,247.00 and 7,503.02

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Solution

The fourth proportional to 11,502.64, 17,247.00 and 7,503.02 is: 11,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.64 : 17,247.00 = 7,503.02 : x
  2. Step 2: Convert to fraction form
    11,502.64/17,247.00 = 7,503.02/x
  3. Step 3: Cross multiply
    11,502.64x = 17,247.00 × 7,503.02
  4. Step 4: Simplify right side
    11,502.64x = 129,404,462.19
  5. Step 5: Solve for x
    x = 129,404,462.19/11,502.64
  6. Step 6: Final answer
    x = 11,249.98

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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.