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Finding the Fourth Proportional to 10,084.95, 13,915.92 and 5,607.81

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Solution

The fourth proportional to 10,084.95, 13,915.92 and 5,607.81 is: 7,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.95 : 13,915.92 = 5,607.81 : x
  2. Step 2: Convert to fraction form
    10,084.95/13,915.92 = 5,607.81/x
  3. Step 3: Cross multiply
    10,084.95x = 13,915.92 × 5,607.81
  4. Step 4: Simplify right side
    10,084.95x = 78,037,835.34
  5. Step 5: Solve for x
    x = 78,037,835.34/10,084.95
  6. Step 6: Final answer
    x = 7,738.05

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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.