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Finding the Fourth Proportional to 7,573.64, 11,360.18 and 3,677

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Solution

The fourth proportional to 7,573.64, 11,360.18 and 3,677 is: 5,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.64 : 11,360.18 = 3,677 : x
  2. Step 2: Convert to fraction form
    7,573.64/11,360.18 = 3,677/x
  3. Step 3: Cross multiply
    7,573.64x = 11,360.18 × 3,677
  4. Step 4: Simplify right side
    7,573.64x = 41,771,381.86
  5. Step 5: Solve for x
    x = 41,771,381.86/7,573.64
  6. Step 6: Final answer
    x = 5,515.36

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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.