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Finding the Fourth Proportional to 8,515.42, 11,752.66 and 4,977.94

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Solution

The fourth proportional to 8,515.42, 11,752.66 and 4,977.94 is: 6,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.42 : 11,752.66 = 4,977.94 : x
  2. Step 2: Convert to fraction form
    8,515.42/11,752.66 = 4,977.94/x
  3. Step 3: Cross multiply
    8,515.42x = 11,752.66 × 4,977.94
  4. Step 4: Simplify right side
    8,515.42x = 58,504,036.32
  5. Step 5: Solve for x
    x = 58,504,036.32/8,515.42
  6. Step 6: Final answer
    x = 6,870.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.