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Finding the Fourth Proportional to 10,695.36, 14,758.98 and 5,915.02

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Solution

The fourth proportional to 10,695.36, 14,758.98 and 5,915.02 is: 8,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.36 : 14,758.98 = 5,915.02 : x
  2. Step 2: Convert to fraction form
    10,695.36/14,758.98 = 5,915.02/x
  3. Step 3: Cross multiply
    10,695.36x = 14,758.98 × 5,915.02
  4. Step 4: Simplify right side
    10,695.36x = 87,299,661.88
  5. Step 5: Solve for x
    x = 87,299,661.88/10,695.36
  6. Step 6: Final answer
    x = 8,162.39

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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.