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Finding the Fourth Proportional to 8,714.56, 13,058.40 and 4,092.16

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Solution

The fourth proportional to 8,714.56, 13,058.40 and 4,092.16 is: 6,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.56 : 13,058.40 = 4,092.16 : x
  2. Step 2: Convert to fraction form
    8,714.56/13,058.40 = 4,092.16/x
  3. Step 3: Cross multiply
    8,714.56x = 13,058.40 × 4,092.16
  4. Step 4: Simplify right side
    8,714.56x = 53,437,062.14
  5. Step 5: Solve for x
    x = 53,437,062.14/8,714.56
  6. Step 6: Final answer
    x = 6,131.93

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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.