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Finding the Fourth Proportional to 8,277.06, 11,422.53 and 4,551.06

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Solution

The fourth proportional to 8,277.06, 11,422.53 and 4,551.06 is: 6,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.06 : 11,422.53 = 4,551.06 : x
  2. Step 2: Convert to fraction form
    8,277.06/11,422.53 = 4,551.06/x
  3. Step 3: Cross multiply
    8,277.06x = 11,422.53 × 4,551.06
  4. Step 4: Simplify right side
    8,277.06x = 51,984,619.38
  5. Step 5: Solve for x
    x = 51,984,619.38/8,277.06
  6. Step 6: Final answer
    x = 6,280.57

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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.