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Finding the Fourth Proportional to 6,711.16, 9,261.50 and 4,058.10

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Solution

The fourth proportional to 6,711.16, 9,261.50 and 4,058.10 is: 5,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.16 : 9,261.50 = 4,058.10 : x
  2. Step 2: Convert to fraction form
    6,711.16/9,261.50 = 4,058.10/x
  3. Step 3: Cross multiply
    6,711.16x = 9,261.50 × 4,058.10
  4. Step 4: Simplify right side
    6,711.16x = 37,584,093.15
  5. Step 5: Solve for x
    x = 37,584,093.15/6,711.16
  6. Step 6: Final answer
    x = 5,600.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.