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Finding the Fourth Proportional to 6,883.83, 10,323.59 and 1,953.63

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Solution

The fourth proportional to 6,883.83, 10,323.59 and 1,953.63 is: 2,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.83 : 10,323.59 = 1,953.63 : x
  2. Step 2: Convert to fraction form
    6,883.83/10,323.59 = 1,953.63/x
  3. Step 3: Cross multiply
    6,883.83x = 10,323.59 × 1,953.63
  4. Step 4: Simplify right side
    6,883.83x = 20,168,465.36
  5. Step 5: Solve for x
    x = 20,168,465.36/6,883.83
  6. Step 6: Final answer
    x = 2,929.83

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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.