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Finding the Fourth Proportional to 11,776.04, 16,251.30 and 6,470.76

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Solution

The fourth proportional to 11,776.04, 16,251.30 and 6,470.76 is: 8,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.04 : 16,251.30 = 6,470.76 : x
  2. Step 2: Convert to fraction form
    11,776.04/16,251.30 = 6,470.76/x
  3. Step 3: Cross multiply
    11,776.04x = 16,251.30 × 6,470.76
  4. Step 4: Simplify right side
    11,776.04x = 105,158,261.99
  5. Step 5: Solve for x
    x = 105,158,261.99/11,776.04
  6. Step 6: Final answer
    x = 8,929.85

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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.