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Finding the Fourth Proportional to 10,518.54, 14,510.38 and 6,882.45

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Solution

The fourth proportional to 10,518.54, 14,510.38 and 6,882.45 is: 9,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.54 : 14,510.38 = 6,882.45 : x
  2. Step 2: Convert to fraction form
    10,518.54/14,510.38 = 6,882.45/x
  3. Step 3: Cross multiply
    10,518.54x = 14,510.38 × 6,882.45
  4. Step 4: Simplify right side
    10,518.54x = 99,866,964.83
  5. Step 5: Solve for x
    x = 99,866,964.83/10,518.54
  6. Step 6: Final answer
    x = 9,494.38

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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.