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Finding the Fourth Proportional to 6,855.77, 10,282.85 and 1,925.83

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Solution

The fourth proportional to 6,855.77, 10,282.85 and 1,925.83 is: 2,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.77 : 10,282.85 = 1,925.83 : x
  2. Step 2: Convert to fraction form
    6,855.77/10,282.85 = 1,925.83/x
  3. Step 3: Cross multiply
    6,855.77x = 10,282.85 × 1,925.83
  4. Step 4: Simplify right side
    6,855.77x = 19,803,042.29
  5. Step 5: Solve for x
    x = 19,803,042.29/6,855.77
  6. Step 6: Final answer
    x = 2,888.52

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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.