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Finding the Fourth Proportional to 10,662.07, 14,711.16 and 6,411.73

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Solution

The fourth proportional to 10,662.07, 14,711.16 and 6,411.73 is: 8,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.07 : 14,711.16 = 6,411.73 : x
  2. Step 2: Convert to fraction form
    10,662.07/14,711.16 = 6,411.73/x
  3. Step 3: Cross multiply
    10,662.07x = 14,711.16 × 6,411.73
  4. Step 4: Simplify right side
    10,662.07x = 94,323,985.91
  5. Step 5: Solve for x
    x = 94,323,985.91/10,662.07
  6. Step 6: Final answer
    x = 8,846.69

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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.