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Finding the Fourth Proportional to 8,762.84, 12,092.56 and 4,985.92

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Solution

The fourth proportional to 8,762.84, 12,092.56 and 4,985.92 is: 6,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.84 : 12,092.56 = 4,985.92 : x
  2. Step 2: Convert to fraction form
    8,762.84/12,092.56 = 4,985.92/x
  3. Step 3: Cross multiply
    8,762.84x = 12,092.56 × 4,985.92
  4. Step 4: Simplify right side
    8,762.84x = 60,292,539.41
  5. Step 5: Solve for x
    x = 60,292,539.41/8,762.84
  6. Step 6: Final answer
    x = 6,880.48

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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.