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Finding the Fourth Proportional to 11,513.84, 17,245.68 and 7,058.02

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Solution

The fourth proportional to 11,513.84, 17,245.68 and 7,058.02 is: 10,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.84 : 17,245.68 = 7,058.02 : x
  2. Step 2: Convert to fraction form
    11,513.84/17,245.68 = 7,058.02/x
  3. Step 3: Cross multiply
    11,513.84x = 17,245.68 × 7,058.02
  4. Step 4: Simplify right side
    11,513.84x = 121,720,354.35
  5. Step 5: Solve for x
    x = 121,720,354.35/11,513.84
  6. Step 6: Final answer
    x = 10,571.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.