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Finding the Fourth Proportional to 7,977.66, 11,967.33 and 3,051.45

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Solution

The fourth proportional to 7,977.66, 11,967.33 and 3,051.45 is: 4,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.66 : 11,967.33 = 3,051.45 : x
  2. Step 2: Convert to fraction form
    7,977.66/11,967.33 = 3,051.45/x
  3. Step 3: Cross multiply
    7,977.66x = 11,967.33 × 3,051.45
  4. Step 4: Simplify right side
    7,977.66x = 36,517,709.13
  5. Step 5: Solve for x
    x = 36,517,709.13/7,977.66
  6. Step 6: Final answer
    x = 4,577.50

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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.