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Finding the Fourth Proportional to 6,924.90, 10,386.04 and 1,859.16

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Solution

The fourth proportional to 6,924.90, 10,386.04 and 1,859.16 is: 2,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.90 : 10,386.04 = 1,859.16 : x
  2. Step 2: Convert to fraction form
    6,924.90/10,386.04 = 1,859.16/x
  3. Step 3: Cross multiply
    6,924.90x = 10,386.04 × 1,859.16
  4. Step 4: Simplify right side
    6,924.90x = 19,309,310.13
  5. Step 5: Solve for x
    x = 19,309,310.13/6,924.90
  6. Step 6: Final answer
    x = 2,788.39

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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.