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Finding the Fourth Proportional to 6,058.60, 9,077.10 and 5,129.80

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Solution

The fourth proportional to 6,058.60, 9,077.10 and 5,129.80 is: 7,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.60 : 9,077.10 = 5,129.80 : x
  2. Step 2: Convert to fraction form
    6,058.60/9,077.10 = 5,129.80/x
  3. Step 3: Cross multiply
    6,058.60x = 9,077.10 × 5,129.80
  4. Step 4: Simplify right side
    6,058.60x = 46,563,707.58
  5. Step 5: Solve for x
    x = 46,563,707.58/6,058.60
  6. Step 6: Final answer
    x = 7,685.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.