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Finding the Fourth Proportional to 8,602.06, 11,870 and 4,825.38

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Solution

The fourth proportional to 8,602.06, 11,870 and 4,825.38 is: 6,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.06 : 11,870 = 4,825.38 : x
  2. Step 2: Convert to fraction form
    8,602.06/11,870 = 4,825.38/x
  3. Step 3: Cross multiply
    8,602.06x = 11,870 × 4,825.38
  4. Step 4: Simplify right side
    8,602.06x = 57,277,260.60
  5. Step 5: Solve for x
    x = 57,277,260.60/8,602.06
  6. Step 6: Final answer
    x = 6,658.55

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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.