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Finding the Fourth Proportional to 11,256.25, 15,532.80 and 6,220.40

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Solution

The fourth proportional to 11,256.25, 15,532.80 and 6,220.40 is: 8,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.25 : 15,532.80 = 6,220.40 : x
  2. Step 2: Convert to fraction form
    11,256.25/15,532.80 = 6,220.40/x
  3. Step 3: Cross multiply
    11,256.25x = 15,532.80 × 6,220.40
  4. Step 4: Simplify right side
    11,256.25x = 96,620,250.49
  5. Step 5: Solve for x
    x = 96,620,250.49/11,256.25
  6. Step 6: Final answer
    x = 8,583.70

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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.