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Finding the Fourth Proportional to 8,699.36, 13,038.24 and 3,502.40

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Solution

The fourth proportional to 8,699.36, 13,038.24 and 3,502.40 is: 5,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.36 : 13,038.24 = 3,502.40 : x
  2. Step 2: Convert to fraction form
    8,699.36/13,038.24 = 3,502.40/x
  3. Step 3: Cross multiply
    8,699.36x = 13,038.24 × 3,502.40
  4. Step 4: Simplify right side
    8,699.36x = 45,665,131.78
  5. Step 5: Solve for x
    x = 45,665,131.78/8,699.36
  6. Step 6: Final answer
    x = 5,249.25

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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.