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Finding the Fourth Proportional to 11,750.49, 16,215.85 and 6,445.20

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Solution

The fourth proportional to 11,750.49, 16,215.85 and 6,445.20 is: 8,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.49 : 16,215.85 = 6,445.20 : x
  2. Step 2: Convert to fraction form
    11,750.49/16,215.85 = 6,445.20/x
  3. Step 3: Cross multiply
    11,750.49x = 16,215.85 × 6,445.20
  4. Step 4: Simplify right side
    11,750.49x = 104,514,292.21
  5. Step 5: Solve for x
    x = 104,514,292.21/11,750.49
  6. Step 6: Final answer
    x = 8,894.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.