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Finding the Fourth Proportional to 7,848, 10,832.22 and 4,491.86

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Solution

The fourth proportional to 7,848, 10,832.22 and 4,491.86 is: 6,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 10,832.22 = 4,491.86 : x
  2. Step 2: Convert to fraction form
    7,848/10,832.22 = 4,491.86/x
  3. Step 3: Cross multiply
    7,848x = 10,832.22 × 4,491.86
  4. Step 4: Simplify right side
    7,848x = 48,656,842.81
  5. Step 5: Solve for x
    x = 48,656,842.81/7,848
  6. Step 6: Final answer
    x = 6,199.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.