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Finding the Fourth Proportional to 7,562.56, 11,343.12 and 2,368

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Solution

The fourth proportional to 7,562.56, 11,343.12 and 2,368 is: 3,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.56 : 11,343.12 = 2,368 : x
  2. Step 2: Convert to fraction form
    7,562.56/11,343.12 = 2,368/x
  3. Step 3: Cross multiply
    7,562.56x = 11,343.12 × 2,368
  4. Step 4: Simplify right side
    7,562.56x = 26,860,508.16
  5. Step 5: Solve for x
    x = 26,860,508.16/7,562.56
  6. Step 6: Final answer
    x = 3,551.77

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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.