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Finding the Fourth Proportional to 11,323.32, 16,962.88 and 7,415.88

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Solution

The fourth proportional to 11,323.32, 16,962.88 and 7,415.88 is: 11,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.32 : 16,962.88 = 7,415.88 : x
  2. Step 2: Convert to fraction form
    11,323.32/16,962.88 = 7,415.88/x
  3. Step 3: Cross multiply
    11,323.32x = 16,962.88 × 7,415.88
  4. Step 4: Simplify right side
    11,323.32x = 125,794,682.53
  5. Step 5: Solve for x
    x = 125,794,682.53/11,323.32
  6. Step 6: Final answer
    x = 11,109.35

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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.