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Finding the Fourth Proportional to 10,867.86, 16,303.16 and 3,846.23

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Solution

The fourth proportional to 10,867.86, 16,303.16 and 3,846.23 is: 5,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.86 : 16,303.16 = 3,846.23 : x
  2. Step 2: Convert to fraction form
    10,867.86/16,303.16 = 3,846.23/x
  3. Step 3: Cross multiply
    10,867.86x = 16,303.16 × 3,846.23
  4. Step 4: Simplify right side
    10,867.86x = 62,705,602.34
  5. Step 5: Solve for x
    x = 62,705,602.34/10,867.86
  6. Step 6: Final answer
    x = 5,769.82

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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.