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Finding the Fourth Proportional to 8,305.12, 11,460.72 and 4,768.64

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Solution

The fourth proportional to 8,305.12, 11,460.72 and 4,768.64 is: 6,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.12 : 11,460.72 = 4,768.64 : x
  2. Step 2: Convert to fraction form
    8,305.12/11,460.72 = 4,768.64/x
  3. Step 3: Cross multiply
    8,305.12x = 11,460.72 × 4,768.64
  4. Step 4: Simplify right side
    8,305.12x = 54,652,047.82
  5. Step 5: Solve for x
    x = 54,652,047.82/8,305.12
  6. Step 6: Final answer
    x = 6,580.52

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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.