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Finding the Fourth Proportional to 12,714.03, 19,060.11 and 4,928.31

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Solution

The fourth proportional to 12,714.03, 19,060.11 and 4,928.31 is: 7,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.03 : 19,060.11 = 4,928.31 : x
  2. Step 2: Convert to fraction form
    12,714.03/19,060.11 = 4,928.31/x
  3. Step 3: Cross multiply
    12,714.03x = 19,060.11 × 4,928.31
  4. Step 4: Simplify right side
    12,714.03x = 93,934,130.71
  5. Step 5: Solve for x
    x = 93,934,130.71/12,714.03
  6. Step 6: Final answer
    x = 7,388.23

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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.