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Finding the Fourth Proportional to 7,656.78, 10,568.46 and 4,513.98

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Solution

The fourth proportional to 7,656.78, 10,568.46 and 4,513.98 is: 6,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.78 : 10,568.46 = 4,513.98 : x
  2. Step 2: Convert to fraction form
    7,656.78/10,568.46 = 4,513.98/x
  3. Step 3: Cross multiply
    7,656.78x = 10,568.46 × 4,513.98
  4. Step 4: Simplify right side
    7,656.78x = 47,705,817.07
  5. Step 5: Solve for x
    x = 47,705,817.07/7,656.78
  6. Step 6: Final answer
    x = 6,230.53

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Why These Related Problems?

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