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Finding the Fourth Proportional to 8,058.48, 12,088.24 and 4,164

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Solution

The fourth proportional to 8,058.48, 12,088.24 and 4,164 is: 6,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.48 : 12,088.24 = 4,164 : x
  2. Step 2: Convert to fraction form
    8,058.48/12,088.24 = 4,164/x
  3. Step 3: Cross multiply
    8,058.48x = 12,088.24 × 4,164
  4. Step 4: Simplify right side
    8,058.48x = 50,335,431.36
  5. Step 5: Solve for x
    x = 50,335,431.36/8,058.48
  6. Step 6: Final answer
    x = 6,246.27

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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.