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Finding the Fourth Proportional to 8,311.49, 11,464.70 and 4,952.01

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Solution

The fourth proportional to 8,311.49, 11,464.70 and 4,952.01 is: 6,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.49 : 11,464.70 = 4,952.01 : x
  2. Step 2: Convert to fraction form
    8,311.49/11,464.70 = 4,952.01/x
  3. Step 3: Cross multiply
    8,311.49x = 11,464.70 × 4,952.01
  4. Step 4: Simplify right side
    8,311.49x = 56,773,284.29
  5. Step 5: Solve for x
    x = 56,773,284.29/8,311.49
  6. Step 6: Final answer
    x = 6,830.70

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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.