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Finding the Fourth Proportional to 11,851.38, 16,378.34 and 9,723.51

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Solution

The fourth proportional to 11,851.38, 16,378.34 and 9,723.51 is: 13,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.38 : 16,378.34 = 9,723.51 : x
  2. Step 2: Convert to fraction form
    11,851.38/16,378.34 = 9,723.51/x
  3. Step 3: Cross multiply
    11,851.38x = 16,378.34 × 9,723.51
  4. Step 4: Simplify right side
    11,851.38x = 159,254,904.16
  5. Step 5: Solve for x
    x = 159,254,904.16/11,851.38
  6. Step 6: Final answer
    x = 13,437.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.