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Finding the Fourth Proportional to 10,662.98, 14,710.16 and 6,184.14

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Solution

The fourth proportional to 10,662.98, 14,710.16 and 6,184.14 is: 8,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.98 : 14,710.16 = 6,184.14 : x
  2. Step 2: Convert to fraction form
    10,662.98/14,710.16 = 6,184.14/x
  3. Step 3: Cross multiply
    10,662.98x = 14,710.16 × 6,184.14
  4. Step 4: Simplify right side
    10,662.98x = 90,969,657.94
  5. Step 5: Solve for x
    x = 90,969,657.94/10,662.98
  6. Step 6: Final answer
    x = 8,531.35

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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.