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Finding the Fourth Proportional to 8,729.82, 12,047.46 and 4,953

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Solution

The fourth proportional to 8,729.82, 12,047.46 and 4,953 is: 6,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.82 : 12,047.46 = 4,953 : x
  2. Step 2: Convert to fraction form
    8,729.82/12,047.46 = 4,953/x
  3. Step 3: Cross multiply
    8,729.82x = 12,047.46 × 4,953
  4. Step 4: Simplify right side
    8,729.82x = 59,671,069.38
  5. Step 5: Solve for x
    x = 59,671,069.38/8,729.82
  6. Step 6: Final answer
    x = 6,835.31

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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.