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Finding the Fourth Proportional to 10,705.65, 14,772.06 and 5,989.02

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Solution

The fourth proportional to 10,705.65, 14,772.06 and 5,989.02 is: 8,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.65 : 14,772.06 = 5,989.02 : x
  2. Step 2: Convert to fraction form
    10,705.65/14,772.06 = 5,989.02/x
  3. Step 3: Cross multiply
    10,705.65x = 14,772.06 × 5,989.02
  4. Step 4: Simplify right side
    10,705.65x = 88,470,162.78
  5. Step 5: Solve for x
    x = 88,470,162.78/10,705.65
  6. Step 6: Final answer
    x = 8,263.88

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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.