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Finding the Fourth Proportional to 11,853.84, 17,761.30 and 4,058.40

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Solution

The fourth proportional to 11,853.84, 17,761.30 and 4,058.40 is: 6,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.84 : 17,761.30 = 4,058.40 : x
  2. Step 2: Convert to fraction form
    11,853.84/17,761.30 = 4,058.40/x
  3. Step 3: Cross multiply
    11,853.84x = 17,761.30 × 4,058.40
  4. Step 4: Simplify right side
    11,853.84x = 72,082,459.92
  5. Step 5: Solve for x
    x = 72,082,459.92/11,853.84
  6. Step 6: Final answer
    x = 6,080.94

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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.