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Finding the Fourth Proportional to 11,750.46, 16,215.55 and 6,445.24

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Solution

The fourth proportional to 11,750.46, 16,215.55 and 6,445.24 is: 8,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.46 : 16,215.55 = 6,445.24 : x
  2. Step 2: Convert to fraction form
    11,750.46/16,215.55 = 6,445.24/x
  3. Step 3: Cross multiply
    11,750.46x = 16,215.55 × 6,445.24
  4. Step 4: Simplify right side
    11,750.46x = 104,513,111.48
  5. Step 5: Solve for x
    x = 104,513,111.48/11,750.46
  6. Step 6: Final answer
    x = 8,894.38

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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.