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Finding the Fourth Proportional to 10,326.75, 14,254.38 and 6,077.67

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Solution

The fourth proportional to 10,326.75, 14,254.38 and 6,077.67 is: 8,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.75 : 14,254.38 = 6,077.67 : x
  2. Step 2: Convert to fraction form
    10,326.75/14,254.38 = 6,077.67/x
  3. Step 3: Cross multiply
    10,326.75x = 14,254.38 × 6,077.67
  4. Step 4: Simplify right side
    10,326.75x = 86,633,417.69
  5. Step 5: Solve for x
    x = 86,633,417.69/10,326.75
  6. Step 6: Final answer
    x = 8,389.22

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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.