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Finding the Fourth Proportional to 6,702.11, 10,058.63 and 3,416.14

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Solution

The fourth proportional to 6,702.11, 10,058.63 and 3,416.14 is: 5,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.11 : 10,058.63 = 3,416.14 : x
  2. Step 2: Convert to fraction form
    6,702.11/10,058.63 = 3,416.14/x
  3. Step 3: Cross multiply
    6,702.11x = 10,058.63 × 3,416.14
  4. Step 4: Simplify right side
    6,702.11x = 34,361,688.29
  5. Step 5: Solve for x
    x = 34,361,688.29/6,702.11
  6. Step 6: Final answer
    x = 5,127.00

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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.