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Finding the Fourth Proportional to 7,568.63, 11,354.76 and 2,374.50

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Solution

The fourth proportional to 7,568.63, 11,354.76 and 2,374.50 is: 3,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.63 : 11,354.76 = 2,374.50 : x
  2. Step 2: Convert to fraction form
    7,568.63/11,354.76 = 2,374.50/x
  3. Step 3: Cross multiply
    7,568.63x = 11,354.76 × 2,374.50
  4. Step 4: Simplify right side
    7,568.63x = 26,961,877.62
  5. Step 5: Solve for x
    x = 26,961,877.62/7,568.63
  6. Step 6: Final answer
    x = 3,562.32

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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.