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Finding the Fourth Proportional to 7,860.97, 10,848.50 and 4,324.38

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Solution

The fourth proportional to 7,860.97, 10,848.50 and 4,324.38 is: 5,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.97 : 10,848.50 = 4,324.38 : x
  2. Step 2: Convert to fraction form
    7,860.97/10,848.50 = 4,324.38/x
  3. Step 3: Cross multiply
    7,860.97x = 10,848.50 × 4,324.38
  4. Step 4: Simplify right side
    7,860.97x = 46,913,036.43
  5. Step 5: Solve for x
    x = 46,913,036.43/7,860.97
  6. Step 6: Final answer
    x = 5,967.84

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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.