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Finding the Fourth Proportional to 10,083.76, 13,915.83 and 5,607.70

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Solution

The fourth proportional to 10,083.76, 13,915.83 and 5,607.70 is: 7,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.76 : 13,915.83 = 5,607.70 : x
  2. Step 2: Convert to fraction form
    10,083.76/13,915.83 = 5,607.70/x
  3. Step 3: Cross multiply
    10,083.76x = 13,915.83 × 5,607.70
  4. Step 4: Simplify right side
    10,083.76x = 78,035,799.89
  5. Step 5: Solve for x
    x = 78,035,799.89/10,083.76
  6. Step 6: Final answer
    x = 7,738.76

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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.