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Finding the Fourth Proportional to 11,467.32, 15,818.88 and 9,466.20

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Solution

The fourth proportional to 11,467.32, 15,818.88 and 9,466.20 is: 13,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.32 : 15,818.88 = 9,466.20 : x
  2. Step 2: Convert to fraction form
    11,467.32/15,818.88 = 9,466.20/x
  3. Step 3: Cross multiply
    11,467.32x = 15,818.88 × 9,466.20
  4. Step 4: Simplify right side
    11,467.32x = 149,744,681.86
  5. Step 5: Solve for x
    x = 149,744,681.86/11,467.32
  6. Step 6: Final answer
    x = 13,058.39

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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.