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Finding the Fourth Proportional to 11,776.32, 16,250.40 and 6,471

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Solution

The fourth proportional to 11,776.32, 16,250.40 and 6,471 is: 8,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.32 : 16,250.40 = 6,471 : x
  2. Step 2: Convert to fraction form
    11,776.32/16,250.40 = 6,471/x
  3. Step 3: Cross multiply
    11,776.32x = 16,250.40 × 6,471
  4. Step 4: Simplify right side
    11,776.32x = 105,156,338.40
  5. Step 5: Solve for x
    x = 105,156,338.40/11,776.32
  6. Step 6: Final answer
    x = 8,929.47

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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.