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Finding the Fourth Proportional to 7,927.48, 11,894.10 and 3,714.49

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Solution

The fourth proportional to 7,927.48, 11,894.10 and 3,714.49 is: 5,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.48 : 11,894.10 = 3,714.49 : x
  2. Step 2: Convert to fraction form
    7,927.48/11,894.10 = 3,714.49/x
  3. Step 3: Cross multiply
    7,927.48x = 11,894.10 × 3,714.49
  4. Step 4: Simplify right side
    7,927.48x = 44,180,515.51
  5. Step 5: Solve for x
    x = 44,180,515.51/7,927.48
  6. Step 6: Final answer
    x = 5,573.08

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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.