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Finding the Fourth Proportional to 11,503.16, 15,874.43 and 6,467.60

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Solution

The fourth proportional to 11,503.16, 15,874.43 and 6,467.60 is: 8,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.16 : 15,874.43 = 6,467.60 : x
  2. Step 2: Convert to fraction form
    11,503.16/15,874.43 = 6,467.60/x
  3. Step 3: Cross multiply
    11,503.16x = 15,874.43 × 6,467.60
  4. Step 4: Simplify right side
    11,503.16x = 102,669,417.90
  5. Step 5: Solve for x
    x = 102,669,417.90/11,503.16
  6. Step 6: Final answer
    x = 8,925.32

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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.