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Finding the Fourth Proportional to 10,084.34, 13,915.34 and 5,607.38

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Solution

The fourth proportional to 10,084.34, 13,915.34 and 5,607.38 is: 7,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.34 : 13,915.34 = 5,607.38 : x
  2. Step 2: Convert to fraction form
    10,084.34/13,915.34 = 5,607.38/x
  3. Step 3: Cross multiply
    10,084.34x = 13,915.34 × 5,607.38
  4. Step 4: Simplify right side
    10,084.34x = 78,028,599.21
  5. Step 5: Solve for x
    x = 78,028,599.21/10,084.34
  6. Step 6: Final answer
    x = 7,737.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.