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Finding the Fourth Proportional to 8,256.84, 11,394.49 and 4,480.02

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Solution

The fourth proportional to 8,256.84, 11,394.49 and 4,480.02 is: 6,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.84 : 11,394.49 = 4,480.02 : x
  2. Step 2: Convert to fraction form
    8,256.84/11,394.49 = 4,480.02/x
  3. Step 3: Cross multiply
    8,256.84x = 11,394.49 × 4,480.02
  4. Step 4: Simplify right side
    8,256.84x = 51,047,543.09
  5. Step 5: Solve for x
    x = 51,047,543.09/8,256.84
  6. Step 6: Final answer
    x = 6,182.46

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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.