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Finding the Fourth Proportional to 10,362.47, 15,530.70 and 8,162.51

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Solution

The fourth proportional to 10,362.47, 15,530.70 and 8,162.51 is: 12,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.47 : 15,530.70 = 8,162.51 : x
  2. Step 2: Convert to fraction form
    10,362.47/15,530.70 = 8,162.51/x
  3. Step 3: Cross multiply
    10,362.47x = 15,530.70 × 8,162.51
  4. Step 4: Simplify right side
    10,362.47x = 126,769,494.06
  5. Step 5: Solve for x
    x = 126,769,494.06/10,362.47
  6. Step 6: Final answer
    x = 12,233.52

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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.