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Finding the Fourth Proportional to 11,423.90, 15,766.93 and 6,646.61

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Solution

The fourth proportional to 11,423.90, 15,766.93 and 6,646.61 is: 9,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.90 : 15,766.93 = 6,646.61 : x
  2. Step 2: Convert to fraction form
    11,423.90/15,766.93 = 6,646.61/x
  3. Step 3: Cross multiply
    11,423.90x = 15,766.93 × 6,646.61
  4. Step 4: Simplify right side
    11,423.90x = 104,796,634.61
  5. Step 5: Solve for x
    x = 104,796,634.61/11,423.90
  6. Step 6: Final answer
    x = 9,173.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.