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Finding the Fourth Proportional to 11,376.91, 17,058.07 and 7,857.06

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Solution

The fourth proportional to 11,376.91, 17,058.07 and 7,857.06 is: 11,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.91 : 17,058.07 = 7,857.06 : x
  2. Step 2: Convert to fraction form
    11,376.91/17,058.07 = 7,857.06/x
  3. Step 3: Cross multiply
    11,376.91x = 17,058.07 × 7,857.06
  4. Step 4: Simplify right side
    11,376.91x = 134,026,279.47
  5. Step 5: Solve for x
    x = 134,026,279.47/11,376.91
  6. Step 6: Final answer
    x = 11,780.55

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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.