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Finding the Fourth Proportional to 8,313.62, 11,472.77 and 4,776.82

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Solution

The fourth proportional to 8,313.62, 11,472.77 and 4,776.82 is: 6,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.62 : 11,472.77 = 4,776.82 : x
  2. Step 2: Convert to fraction form
    8,313.62/11,472.77 = 4,776.82/x
  3. Step 3: Cross multiply
    8,313.62x = 11,472.77 × 4,776.82
  4. Step 4: Simplify right side
    8,313.62x = 54,803,340.45
  5. Step 5: Solve for x
    x = 54,803,340.45/8,313.62
  6. Step 6: Final answer
    x = 6,592.00

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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.