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Finding the Fourth Proportional to 7,860.66, 11,775.54 and 4,566.84

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Solution

The fourth proportional to 7,860.66, 11,775.54 and 4,566.84 is: 6,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.66 : 11,775.54 = 4,566.84 : x
  2. Step 2: Convert to fraction form
    7,860.66/11,775.54 = 4,566.84/x
  3. Step 3: Cross multiply
    7,860.66x = 11,775.54 × 4,566.84
  4. Step 4: Simplify right side
    7,860.66x = 53,777,007.09
  5. Step 5: Solve for x
    x = 53,777,007.09/7,860.66
  6. Step 6: Final answer
    x = 6,841.28

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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.