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Finding the Fourth Proportional to 10,662.97, 14,710.93 and 6,184.21

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Solution

The fourth proportional to 10,662.97, 14,710.93 and 6,184.21 is: 8,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.97 : 14,710.93 = 6,184.21 : x
  2. Step 2: Convert to fraction form
    10,662.97/14,710.93 = 6,184.21/x
  3. Step 3: Cross multiply
    10,662.97x = 14,710.93 × 6,184.21
  4. Step 4: Simplify right side
    10,662.97x = 90,975,480.42
  5. Step 5: Solve for x
    x = 90,975,480.42/10,662.97
  6. Step 6: Final answer
    x = 8,531.91

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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.