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Finding the Fourth Proportional to 10,707.65, 16,063.84 and 3,210.91

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Solution

The fourth proportional to 10,707.65, 16,063.84 and 3,210.91 is: 4,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.65 : 16,063.84 = 3,210.91 : x
  2. Step 2: Convert to fraction form
    10,707.65/16,063.84 = 3,210.91/x
  3. Step 3: Cross multiply
    10,707.65x = 16,063.84 × 3,210.91
  4. Step 4: Simplify right side
    10,707.65x = 51,579,496.31
  5. Step 5: Solve for x
    x = 51,579,496.31/10,707.65
  6. Step 6: Final answer
    x = 4,817.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.