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Finding the Fourth Proportional to 10,522.11, 14,510.38 and 7,080.45

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Solution

The fourth proportional to 10,522.11, 14,510.38 and 7,080.45 is: 9,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.11 : 14,510.38 = 7,080.45 : x
  2. Step 2: Convert to fraction form
    10,522.11/14,510.38 = 7,080.45/x
  3. Step 3: Cross multiply
    10,522.11x = 14,510.38 × 7,080.45
  4. Step 4: Simplify right side
    10,522.11x = 102,740,002.37
  5. Step 5: Solve for x
    x = 102,740,002.37/10,522.11
  6. Step 6: Final answer
    x = 9,764.20

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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.