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Finding the Fourth Proportional to 10,643.06, 14,687.70 and 6,167

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Solution

The fourth proportional to 10,643.06, 14,687.70 and 6,167 is: 8,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.06 : 14,687.70 = 6,167 : x
  2. Step 2: Convert to fraction form
    10,643.06/14,687.70 = 6,167/x
  3. Step 3: Cross multiply
    10,643.06x = 14,687.70 × 6,167
  4. Step 4: Simplify right side
    10,643.06x = 90,579,045.90
  5. Step 5: Solve for x
    x = 90,579,045.90/10,643.06
  6. Step 6: Final answer
    x = 8,510.62

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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.