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Finding the Fourth Proportional to 8,058.24, 12,030.96 and 7,563.84

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Solution

The fourth proportional to 8,058.24, 12,030.96 and 7,563.84 is: 11,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.24 : 12,030.96 = 7,563.84 : x
  2. Step 2: Convert to fraction form
    8,058.24/12,030.96 = 7,563.84/x
  3. Step 3: Cross multiply
    8,058.24x = 12,030.96 × 7,563.84
  4. Step 4: Simplify right side
    8,058.24x = 91,000,256.49
  5. Step 5: Solve for x
    x = 91,000,256.49/8,058.24
  6. Step 6: Final answer
    x = 11,292.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.