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Finding the Fourth Proportional to 7,608.66, 10,459.64 and 6,542.52

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Solution

The fourth proportional to 7,608.66, 10,459.64 and 6,542.52 is: 8,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.66 : 10,459.64 = 6,542.52 : x
  2. Step 2: Convert to fraction form
    7,608.66/10,459.64 = 6,542.52/x
  3. Step 3: Cross multiply
    7,608.66x = 10,459.64 × 6,542.52
  4. Step 4: Simplify right side
    7,608.66x = 68,432,403.89
  5. Step 5: Solve for x
    x = 68,432,403.89/7,608.66
  6. Step 6: Final answer
    x = 8,994.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.