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Finding the Fourth Proportional to 10,056.88, 15,085.38 and 4,137

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Solution

The fourth proportional to 10,056.88, 15,085.38 and 4,137 is: 6,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.88 : 15,085.38 = 4,137 : x
  2. Step 2: Convert to fraction form
    10,056.88/15,085.38 = 4,137/x
  3. Step 3: Cross multiply
    10,056.88x = 15,085.38 × 4,137
  4. Step 4: Simplify right side
    10,056.88x = 62,408,217.06
  5. Step 5: Solve for x
    x = 62,408,217.06/10,056.88
  6. Step 6: Final answer
    x = 6,205.52

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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.