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Finding the Fourth Proportional to 10,682.52, 14,740.80 and 7,328.22

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Solution

The fourth proportional to 10,682.52, 14,740.80 and 7,328.22 is: 10,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.52 : 14,740.80 = 7,328.22 : x
  2. Step 2: Convert to fraction form
    10,682.52/14,740.80 = 7,328.22/x
  3. Step 3: Cross multiply
    10,682.52x = 14,740.80 × 7,328.22
  4. Step 4: Simplify right side
    10,682.52x = 108,023,825.38
  5. Step 5: Solve for x
    x = 108,023,825.38/10,682.52
  6. Step 6: Final answer
    x = 10,112.20

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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.