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Finding the Fourth Proportional to 10,522.80, 15,767.80 and 4,975.11

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Solution

The fourth proportional to 10,522.80, 15,767.80 and 4,975.11 is: 7,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.80 : 15,767.80 = 4,975.11 : x
  2. Step 2: Convert to fraction form
    10,522.80/15,767.80 = 4,975.11/x
  3. Step 3: Cross multiply
    10,522.80x = 15,767.80 × 4,975.11
  4. Step 4: Simplify right side
    10,522.80x = 78,446,527.02
  5. Step 5: Solve for x
    x = 78,446,527.02/10,522.80
  6. Step 6: Final answer
    x = 7,454.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.