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Finding the Fourth Proportional to 10,873.87, 16,283.12 and 7,164.86

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Solution

The fourth proportional to 10,873.87, 16,283.12 and 7,164.86 is: 10,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.87 : 16,283.12 = 7,164.86 : x
  2. Step 2: Convert to fraction form
    10,873.87/16,283.12 = 7,164.86/x
  3. Step 3: Cross multiply
    10,873.87x = 16,283.12 × 7,164.86
  4. Step 4: Simplify right side
    10,873.87x = 116,666,275.16
  5. Step 5: Solve for x
    x = 116,666,275.16/10,873.87
  6. Step 6: Final answer
    x = 10,729.05

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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.