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Finding the Fourth Proportional to 11,257.60, 15,535.28 and 6,222

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Solution

The fourth proportional to 11,257.60, 15,535.28 and 6,222 is: 8,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.60 : 15,535.28 = 6,222 : x
  2. Step 2: Convert to fraction form
    11,257.60/15,535.28 = 6,222/x
  3. Step 3: Cross multiply
    11,257.60x = 15,535.28 × 6,222
  4. Step 4: Simplify right side
    11,257.60x = 96,660,512.16
  5. Step 5: Solve for x
    x = 96,660,512.16/11,257.60
  6. Step 6: Final answer
    x = 8,586.25

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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.