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Finding the Fourth Proportional to 11,776.95, 16,252.28 and 6,471.85

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Solution

The fourth proportional to 11,776.95, 16,252.28 and 6,471.85 is: 8,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.95 : 16,252.28 = 6,471.85 : x
  2. Step 2: Convert to fraction form
    11,776.95/16,252.28 = 6,471.85/x
  3. Step 3: Cross multiply
    11,776.95x = 16,252.28 × 6,471.85
  4. Step 4: Simplify right side
    11,776.95x = 105,182,285.96
  5. Step 5: Solve for x
    x = 105,182,285.96/11,776.95
  6. Step 6: Final answer
    x = 8,931.20

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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.