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Finding the Fourth Proportional to 8,534.18, 11,776.86 and 4,757.16

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Solution

The fourth proportional to 8,534.18, 11,776.86 and 4,757.16 is: 6,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.18 : 11,776.86 = 4,757.16 : x
  2. Step 2: Convert to fraction form
    8,534.18/11,776.86 = 4,757.16/x
  3. Step 3: Cross multiply
    8,534.18x = 11,776.86 × 4,757.16
  4. Step 4: Simplify right side
    8,534.18x = 56,024,407.32
  5. Step 5: Solve for x
    x = 56,024,407.32/8,534.18
  6. Step 6: Final answer
    x = 6,564.71

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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.