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Finding the Fourth Proportional to 11,918.32, 17,878.92 and 5,758

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Solution

The fourth proportional to 11,918.32, 17,878.92 and 5,758 is: 8,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.32 : 17,878.92 = 5,758 : x
  2. Step 2: Convert to fraction form
    11,918.32/17,878.92 = 5,758/x
  3. Step 3: Cross multiply
    11,918.32x = 17,878.92 × 5,758
  4. Step 4: Simplify right side
    11,918.32x = 102,946,821.36
  5. Step 5: Solve for x
    x = 102,946,821.36/11,918.32
  6. Step 6: Final answer
    x = 8,637.70

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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.