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Finding the Fourth Proportional to 7,847.56, 10,830 and 4,490.74

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Solution

The fourth proportional to 7,847.56, 10,830 and 4,490.74 is: 6,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.56 : 10,830 = 4,490.74 : x
  2. Step 2: Convert to fraction form
    7,847.56/10,830 = 4,490.74/x
  3. Step 3: Cross multiply
    7,847.56x = 10,830 × 4,490.74
  4. Step 4: Simplify right side
    7,847.56x = 48,634,714.20
  5. Step 5: Solve for x
    x = 48,634,714.20/7,847.56
  6. Step 6: Final answer
    x = 6,197.43

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