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Finding the Fourth Proportional to 6,713.10, 10,058.65 and 3,421.66

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Solution

The fourth proportional to 6,713.10, 10,058.65 and 3,421.66 is: 5,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.10 : 10,058.65 = 3,421.66 : x
  2. Step 2: Convert to fraction form
    6,713.10/10,058.65 = 3,421.66/x
  3. Step 3: Cross multiply
    6,713.10x = 10,058.65 × 3,421.66
  4. Step 4: Simplify right side
    6,713.10x = 34,417,280.36
  5. Step 5: Solve for x
    x = 34,417,280.36/6,713.10
  6. Step 6: Final answer
    x = 5,126.88

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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.