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Finding the Fourth Proportional to 8,305.93, 11,464.50 and 4,770.28

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Solution

The fourth proportional to 8,305.93, 11,464.50 and 4,770.28 is: 6,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.93 : 11,464.50 = 4,770.28 : x
  2. Step 2: Convert to fraction form
    8,305.93/11,464.50 = 4,770.28/x
  3. Step 3: Cross multiply
    8,305.93x = 11,464.50 × 4,770.28
  4. Step 4: Simplify right side
    8,305.93x = 54,688,875.06
  5. Step 5: Solve for x
    x = 54,688,875.06/8,305.93
  6. Step 6: Final answer
    x = 6,584.32

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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.