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Finding the Fourth Proportional to 8,765.16, 12,096 and 4,786.32

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Solution

The fourth proportional to 8,765.16, 12,096 and 4,786.32 is: 6,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.16 : 12,096 = 4,786.32 : x
  2. Step 2: Convert to fraction form
    8,765.16/12,096 = 4,786.32/x
  3. Step 3: Cross multiply
    8,765.16x = 12,096 × 4,786.32
  4. Step 4: Simplify right side
    8,765.16x = 57,895,326.72
  5. Step 5: Solve for x
    x = 57,895,326.72/8,765.16
  6. Step 6: Final answer
    x = 6,605.16

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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.