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Finding the Fourth Proportional to 10,210.25, 15,309.64 and 3,543.65

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Solution

The fourth proportional to 10,210.25, 15,309.64 and 3,543.65 is: 5,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.25 : 15,309.64 = 3,543.65 : x
  2. Step 2: Convert to fraction form
    10,210.25/15,309.64 = 3,543.65/x
  3. Step 3: Cross multiply
    10,210.25x = 15,309.64 × 3,543.65
  4. Step 4: Simplify right side
    10,210.25x = 54,251,991.08
  5. Step 5: Solve for x
    x = 54,251,991.08/10,210.25
  6. Step 6: Final answer
    x = 5,313.48

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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.