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Finding the Fourth Proportional to 8,702.56, 12,009.44 and 4,926.48

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Solution

The fourth proportional to 8,702.56, 12,009.44 and 4,926.48 is: 6,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.56 : 12,009.44 = 4,926.48 : x
  2. Step 2: Convert to fraction form
    8,702.56/12,009.44 = 4,926.48/x
  3. Step 3: Cross multiply
    8,702.56x = 12,009.44 × 4,926.48
  4. Step 4: Simplify right side
    8,702.56x = 59,164,265.97
  5. Step 5: Solve for x
    x = 59,164,265.97/8,702.56
  6. Step 6: Final answer
    x = 6,798.49

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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.