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Finding the Fourth Proportional to 8,159.10, 12,242.70 and 4,651.80

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Solution

The fourth proportional to 8,159.10, 12,242.70 and 4,651.80 is: 6,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.10 : 12,242.70 = 4,651.80 : x
  2. Step 2: Convert to fraction form
    8,159.10/12,242.70 = 4,651.80/x
  3. Step 3: Cross multiply
    8,159.10x = 12,242.70 × 4,651.80
  4. Step 4: Simplify right side
    8,159.10x = 56,950,591.86
  5. Step 5: Solve for x
    x = 56,950,591.86/8,159.10
  6. Step 6: Final answer
    x = 6,980.01

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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.