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Finding the Fourth Proportional to 7,927.58, 11,886.50 and 3,539

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Solution

The fourth proportional to 7,927.58, 11,886.50 and 3,539 is: 5,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.58 : 11,886.50 = 3,539 : x
  2. Step 2: Convert to fraction form
    7,927.58/11,886.50 = 3,539/x
  3. Step 3: Cross multiply
    7,927.58x = 11,886.50 × 3,539
  4. Step 4: Simplify right side
    7,927.58x = 42,066,323.50
  5. Step 5: Solve for x
    x = 42,066,323.50/7,927.58
  6. Step 6: Final answer
    x = 5,306.33

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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.