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Finding the Fourth Proportional to 10,670.46, 14,727.87 and 6,482.22

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Solution

The fourth proportional to 10,670.46, 14,727.87 and 6,482.22 is: 8,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.46 : 14,727.87 = 6,482.22 : x
  2. Step 2: Convert to fraction form
    10,670.46/14,727.87 = 6,482.22/x
  3. Step 3: Cross multiply
    10,670.46x = 14,727.87 × 6,482.22
  4. Step 4: Simplify right side
    10,670.46x = 95,469,293.47
  5. Step 5: Solve for x
    x = 95,469,293.47/10,670.46
  6. Step 6: Final answer
    x = 8,947.06

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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.