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Finding the Fourth Proportional to 10,671.28, 14,726.46 and 5,956

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Solution

The fourth proportional to 10,671.28, 14,726.46 and 5,956 is: 8,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.28 : 14,726.46 = 5,956 : x
  2. Step 2: Convert to fraction form
    10,671.28/14,726.46 = 5,956/x
  3. Step 3: Cross multiply
    10,671.28x = 14,726.46 × 5,956
  4. Step 4: Simplify right side
    10,671.28x = 87,710,795.76
  5. Step 5: Solve for x
    x = 87,710,795.76/10,671.28
  6. Step 6: Final answer
    x = 8,219.33

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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.