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Finding the Fourth Proportional to 7,562.62, 11,345.10 and 2,368

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Solution

The fourth proportional to 7,562.62, 11,345.10 and 2,368 is: 3,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.62 : 11,345.10 = 2,368 : x
  2. Step 2: Convert to fraction form
    7,562.62/11,345.10 = 2,368/x
  3. Step 3: Cross multiply
    7,562.62x = 11,345.10 × 2,368
  4. Step 4: Simplify right side
    7,562.62x = 26,865,196.80
  5. Step 5: Solve for x
    x = 26,865,196.80/7,562.62
  6. Step 6: Final answer
    x = 3,552.37

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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.