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Finding the Fourth Proportional to 10,830.86, 14,947.46 and 8,611.06

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Solution

The fourth proportional to 10,830.86, 14,947.46 and 8,611.06 is: 11,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.86 : 14,947.46 = 8,611.06 : x
  2. Step 2: Convert to fraction form
    10,830.86/14,947.46 = 8,611.06/x
  3. Step 3: Cross multiply
    10,830.86x = 14,947.46 × 8,611.06
  4. Step 4: Simplify right side
    10,830.86x = 128,713,474.91
  5. Step 5: Solve for x
    x = 128,713,474.91/10,830.86
  6. Step 6: Final answer
    x = 11,883.96

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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.