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Finding the Fourth Proportional to 7,570.80, 11,355.12 and 2,376

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Solution

The fourth proportional to 7,570.80, 11,355.12 and 2,376 is: 3,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.80 : 11,355.12 = 2,376 : x
  2. Step 2: Convert to fraction form
    7,570.80/11,355.12 = 2,376/x
  3. Step 3: Cross multiply
    7,570.80x = 11,355.12 × 2,376
  4. Step 4: Simplify right side
    7,570.80x = 26,979,765.12
  5. Step 5: Solve for x
    x = 26,979,765.12/7,570.80
  6. Step 6: Final answer
    x = 3,563.66

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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.