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Finding the Fourth Proportional to 8,762.66, 12,092.74 and 5,405.38

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Solution

The fourth proportional to 8,762.66, 12,092.74 and 5,405.38 is: 7,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.66 : 12,092.74 = 5,405.38 : x
  2. Step 2: Convert to fraction form
    8,762.66/12,092.74 = 5,405.38/x
  3. Step 3: Cross multiply
    8,762.66x = 12,092.74 × 5,405.38
  4. Step 4: Simplify right side
    8,762.66x = 65,365,909.62
  5. Step 5: Solve for x
    x = 65,365,909.62/8,762.66
  6. Step 6: Final answer
    x = 7,459.60

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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.