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Finding the Fourth Proportional to 7,584.34, 10,459.84 and 4,930.78

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Solution

The fourth proportional to 7,584.34, 10,459.84 and 4,930.78 is: 6,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.34 : 10,459.84 = 4,930.78 : x
  2. Step 2: Convert to fraction form
    7,584.34/10,459.84 = 4,930.78/x
  3. Step 3: Cross multiply
    7,584.34x = 10,459.84 × 4,930.78
  4. Step 4: Simplify right side
    7,584.34x = 51,575,092.92
  5. Step 5: Solve for x
    x = 51,575,092.92/7,584.34
  6. Step 6: Final answer
    x = 6,800.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.