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Finding the Fourth Proportional to 10,915.36, 16,376.06 and 4,346.16

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Solution

The fourth proportional to 10,915.36, 16,376.06 and 4,346.16 is: 6,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.36 : 16,376.06 = 4,346.16 : x
  2. Step 2: Convert to fraction form
    10,915.36/16,376.06 = 4,346.16/x
  3. Step 3: Cross multiply
    10,915.36x = 16,376.06 × 4,346.16
  4. Step 4: Simplify right side
    10,915.36x = 71,173,018.50
  5. Step 5: Solve for x
    x = 71,173,018.50/10,915.36
  6. Step 6: Final answer
    x = 6,520.44

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Why These Related Problems?

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