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Finding the Fourth Proportional to 10,444.34, 15,671.90 and 6,936.77

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Solution

The fourth proportional to 10,444.34, 15,671.90 and 6,936.77 is: 10,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.34 : 15,671.90 = 6,936.77 : x
  2. Step 2: Convert to fraction form
    10,444.34/15,671.90 = 6,936.77/x
  3. Step 3: Cross multiply
    10,444.34x = 15,671.90 × 6,936.77
  4. Step 4: Simplify right side
    10,444.34x = 108,712,422.28
  5. Step 5: Solve for x
    x = 108,712,422.28/10,444.34
  6. Step 6: Final answer
    x = 10,408.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.